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Find the slope m and y-intercept b of the line whose equation is given below. ​ Y = 5 ​


A) m = 5, b = 0
B) m = 0, b = 0
C) m = 5, b = -5
D) m = 0, b = 5
E) Both m and b are undefined.

F) C) and E)
G) D) and E)

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Solve the equation. ​ Solve the equation. ​   ​ A) ​-2 B) 36 C) -12 D) 12 E) -6


A) ​-2
B) 36
C) -12
D) 12
E) -6

F) A) and B)
G) C) and D)

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Choose the equation of the line with the given slope and y-intercept. ​ Slope: 5 y-intercept: 3 ​


A) Choose the equation of the line with the given slope and y-intercept. ​ Slope: 5 y-intercept: 3 ​ A)    B)    C)    D)    E)
B) Choose the equation of the line with the given slope and y-intercept. ​ Slope: 5 y-intercept: 3 ​ A)    B)    C)    D)    E)
C) Choose the equation of the line with the given slope and y-intercept. ​ Slope: 5 y-intercept: 3 ​ A)    B)    C)    D)    E)
D) Choose the equation of the line with the given slope and y-intercept. ​ Slope: 5 y-intercept: 3 ​ A)    B)    C)    D)    E)
E) Choose the equation of the line with the given slope and y-intercept. ​ Slope: 5 y-intercept: 3 ​ A)    B)    C)    D)    E)

F) B) and D)
G) C) and D)

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​Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation? ​ ​Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation? ​     ​ ​​   ​ A) ​Yes B) ​No ​Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation? ​     ​ ​​   ​ A) ​Yes B) ​No ​ ​​ ​Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the given equation? ​     ​ ​​   ​ A) ​Yes B) ​No


A) ​Yes
B) ​No

C) A) and B)
D) undefined

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For the given graph, determine whether the line has a slope that is positive, negative, zero, or undefined. ​ For the given graph, determine whether the line has a slope that is positive, negative, zero, or undefined. ​   ​ A) zero B) positive C) negative D) undefined


A) zero
B) positive
C) negative
D) undefined

E) B) and D)
F) C) and D)

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Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by Suppose that the cost C (in dollars)  of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by   . Find the domain of this function. Recall that p represents the percent pollution that is removed. ​ A)    B) ​   C) ​   D)    E)   . Find the domain of this function. Recall that p represents the percent pollution that is removed. ​


A) Suppose that the cost C (in dollars)  of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by   . Find the domain of this function. Recall that p represents the percent pollution that is removed. ​ A)    B) ​   C) ​   D)    E)
B) ​ Suppose that the cost C (in dollars)  of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by   . Find the domain of this function. Recall that p represents the percent pollution that is removed. ​ A)    B) ​   C) ​   D)    E)
C) ​ Suppose that the cost C (in dollars)  of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by   . Find the domain of this function. Recall that p represents the percent pollution that is removed. ​ A)    B) ​   C) ​   D)    E)
D) Suppose that the cost C (in dollars)  of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by   . Find the domain of this function. Recall that p represents the percent pollution that is removed. ​ A)    B) ​   C) ​   D)    E)
E) Suppose that the cost C (in dollars)  of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by   . Find the domain of this function. Recall that p represents the percent pollution that is removed. ​ A)    B) ​   C) ​   D)    E)

F) A) and C)
G) A) and D)

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In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic children H(x) can be described by In the United States between 1970 and 2002, the number (in millions)  of black children B(x)  and Hispanic children H(x)  can be described by   and   , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? ​ A) 1982 B) 1978 C) 1983 D) 1984 E) 1981 and In the United States between 1970 and 2002, the number (in millions)  of black children B(x)  and Hispanic children H(x)  can be described by   and   , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? ​ A) 1982 B) 1978 C) 1983 D) 1984 E) 1981 , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? ​


A) 1982
B) 1978
C) 1983
D) 1984
E) 1981

F) All of the above
G) A) and B)

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Solve the system by elimination, or by any convenient method. ​ Solve the system by elimination, or by any convenient method. ​   ​ A) ( -6, 4)  B) ( 3, 6)  C) ( 0, -6)  D) ( -6, 3)  E) There is no solution to the equations.


A) ( -6, 4)
B) ( 3, 6)
C) ( 0, -6)
D) ( -6, 3)
E) There is no solution to the equations.

F) All of the above
G) A) and E)

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Graph the equation with a graphing utility; use a window that includes the intercepts. Which range shows both the intercepts? ​ Graph the equation with a graphing utility; use a window that includes the intercepts. Which range shows both the intercepts? ​   ​ A) x-min = -100 x-max = 100 y-min = -10,000 y-max = 10,000 B) x-min = -100 x-max = 100 y-min = -10,000 y-max = 30,000 C) x-min = -100 x-max = 300 y-min = -10,000 y-max = 10,000 D) x-min = -100 x-max = 300 y-min = -10,000 y-max = 30,000 E) ​x-min = 100 x-max = 100 y-min = 10,000 y-max = 10,000


A) x-min = -100 x-max = 100 y-min = -10,000 y-max = 10,000
B) x-min = -100 x-max = 100 y-min = -10,000 y-max = 30,000
C) x-min = -100 x-max = 300 y-min = -10,000 y-max = 10,000
D) x-min = -100 x-max = 300 y-min = -10,000 y-max = 30,000
E) ​x-min = 100 x-max = 100 y-min = 10,000 y-max = 10,000

F) A) and B)
G) B) and E)

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According to the U.S. Bureau of the Census, the relation between the average annual earnings of males and females with various levels of educational attainment can be modeled by the function F = 0.521M + 6.368 , where M and F represent the average annual earnings (in thousands of dollars) of males and females, respectively. Choose the correct interpretation of the slope.​ ​


A) For each $1 increase in the males' earnings, the females' earning increases by $0.521.
B) For each $1000 increase in the males' earnings, the females' earning increases by $52.1.
C) For each $1000 increase in the males' earnings, the females' earning decreases by $52.1.
D) For each $1 increase in the males' earnings, the females' earning decreases by $0.521.
E) For each $100 increase in the males' earnings, the females' earning increases by $5.21.

F) A) and B)
G) A) and C)

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Solve the system by elimination, or by any convenient method. ​ Solve the system by elimination, or by any convenient method. ​   ​ A) (2,-4)  B) (4,2)  C) (11,2)  D) (4,-17)  E) (8,2)


A) (2,-4)
B) (4,2)
C) (11,2)
D) (4,-17)
E) (8,2)

F) C) and E)
G) A) and D)

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Find the slope of the line passing through the given pair of points. ​ Find the slope of the line passing through the given pair of points. ​   and   ​ A) -10 B) 7 C) 2 D) -3 E) The slope is undefined. and Find the slope of the line passing through the given pair of points. ​   and   ​ A) -10 B) 7 C) 2 D) -3 E) The slope is undefined.


A) -10
B) 7
C) 2
D) -3
E) The slope is undefined.

F) None of the above
G) A) and B)

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When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt) is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. , then the following table defines the function. ​ When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. . ​


A) From the table, When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
The value of When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
B) From the table, When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
The value of When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%.
C) From the table, When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
The value of When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
D) From the table, When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
The value of When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
E) From the table, When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
The value of When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt)  is shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by   , then the following table defines the function. ​   ​ Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of   . ​ A) From the table,   The value of   Is the yearly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. B) From the table,   The value of   Is the monthly payment to repay half of a $100,000 loan in 10 years when the interest rate is 7%. C) From the table,   The value of   Is the weekly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. D) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%. E) From the table,   The value of   Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.
Is the monthly payment to repay a $100,000 loan in 10 years when the interest rate is 7%.

F) A) and D)
G) C) and E)

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Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these. ​ Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these. ​     ​ A) parallel lines B) perpendicular lines C) neither Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither of these. ​     ​ A) parallel lines B) perpendicular lines C) neither


A) parallel lines
B) perpendicular lines
C) neither

D) A) and B)
E) A) and C)

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Find the slope of the line passing through the given pair of points. ​ Find the slope of the line passing through the given pair of points. ​   and   ​ A)    B)    C)    D) 0 E) The slope is undefined. and Find the slope of the line passing through the given pair of points. ​   and   ​ A)    B)    C)    D) 0 E) The slope is undefined.


A) Find the slope of the line passing through the given pair of points. ​   and   ​ A)    B)    C)    D) 0 E) The slope is undefined.
B) Find the slope of the line passing through the given pair of points. ​   and   ​ A)    B)    C)    D) 0 E) The slope is undefined.
C) Find the slope of the line passing through the given pair of points. ​   and   ​ A)    B)    C)    D) 0 E) The slope is undefined.
D) 0
E) The slope is undefined.

F) A) and B)
G) All of the above

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Graph the equation with a standard window Graph the equation with a standard window   and   on a graphing utility. Does the graph appear to be a linear function? ​   ​ A) yes B) no and Graph the equation with a standard window   and   on a graphing utility. Does the graph appear to be a linear function? ​   ​ A) yes B) no on a graphing utility. Does the graph appear to be a linear function? ​ Graph the equation with a standard window   and   on a graphing utility. Does the graph appear to be a linear function? ​   ​ A) yes B) no


A) yes
B) no

C) A) and B)
D) undefined

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Suppose a mining company will supply 80,000 tons of ore per month if the price is $25 per ton but will supply only 60,000 tons per month if the price is $20 per ton. Assume the demand function is linear. Choose the correct equation for demand in the form p for price in terms of q for quantity. Round your coefficients to five decimal places. ​


A) Suppose a mining company will supply 80,000 tons of ore per month if the price is $25 per ton but will supply only 60,000 tons per month if the price is $20 per ton. Assume the demand function is linear. Choose the correct equation for demand in the form p for price in terms of q for quantity. Round your coefficients to five decimal places. ​ A)    B)    C)    D)    E)
B) Suppose a mining company will supply 80,000 tons of ore per month if the price is $25 per ton but will supply only 60,000 tons per month if the price is $20 per ton. Assume the demand function is linear. Choose the correct equation for demand in the form p for price in terms of q for quantity. Round your coefficients to five decimal places. ​ A)    B)    C)    D)    E)
C) Suppose a mining company will supply 80,000 tons of ore per month if the price is $25 per ton but will supply only 60,000 tons per month if the price is $20 per ton. Assume the demand function is linear. Choose the correct equation for demand in the form p for price in terms of q for quantity. Round your coefficients to five decimal places. ​ A)    B)    C)    D)    E)
D) Suppose a mining company will supply 80,000 tons of ore per month if the price is $25 per ton but will supply only 60,000 tons per month if the price is $20 per ton. Assume the demand function is linear. Choose the correct equation for demand in the form p for price in terms of q for quantity. Round your coefficients to five decimal places. ​ A)    B)    C)    D)    E)
E) Suppose a mining company will supply 80,000 tons of ore per month if the price is $25 per ton but will supply only 60,000 tons per month if the price is $20 per ton. Assume the demand function is linear. Choose the correct equation for demand in the form p for price in terms of q for quantity. Round your coefficients to five decimal places. ​ A)    B)    C)    D)    E)

F) All of the above
G) A) and C)

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The graph of The graph of   is shown in the figure below. ​   ​ If the point P (with coordinates (a, b) )  is on the graph, how are a and b related? ​ A) ​   B)    C)    D)    E) There is no relation. is shown in the figure below. ​ The graph of   is shown in the figure below. ​   ​ If the point P (with coordinates (a, b) )  is on the graph, how are a and b related? ​ A) ​   B)    C)    D)    E) There is no relation. ​ If the point P (with coordinates (a, b) ) is on the graph, how are a and b related? ​


A) ​ The graph of   is shown in the figure below. ​   ​ If the point P (with coordinates (a, b) )  is on the graph, how are a and b related? ​ A) ​   B)    C)    D)    E) There is no relation.
B) The graph of   is shown in the figure below. ​   ​ If the point P (with coordinates (a, b) )  is on the graph, how are a and b related? ​ A) ​   B)    C)    D)    E) There is no relation.
C) The graph of   is shown in the figure below. ​   ​ If the point P (with coordinates (a, b) )  is on the graph, how are a and b related? ​ A) ​   B)    C)    D)    E) There is no relation.
D) The graph of   is shown in the figure below. ​   ​ If the point P (with coordinates (a, b) )  is on the graph, how are a and b related? ​ A) ​   B)    C)    D)    E) There is no relation.
E) There is no relation.

F) D) and E)
G) B) and D)

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Thrifty rents a compact car for $35 per day, and Budget rents a similar car for $20 per day plus an initial fee of $120. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget? ​


A) ​ Thrifty rents a compact car for $35 per day, and Budget rents a similar car for $20 per day plus an initial fee of $120. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget? ​ A) ​   ​ B) ​   ​ C) ​   ​ D) ​   ​ E) ​   ​

B) ​ Thrifty rents a compact car for $35 per day, and Budget rents a similar car for $20 per day plus an initial fee of $120. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget? ​ A) ​   ​ B) ​   ​ C) ​   ​ D) ​   ​ E) ​   ​

C) ​ Thrifty rents a compact car for $35 per day, and Budget rents a similar car for $20 per day plus an initial fee of $120. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget? ​ A) ​   ​ B) ​   ​ C) ​   ​ D) ​   ​ E) ​   ​

D) ​ Thrifty rents a compact car for $35 per day, and Budget rents a similar car for $20 per day plus an initial fee of $120. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget? ​ A) ​   ​ B) ​   ​ C) ​   ​ D) ​   ​ E) ​   ​

E) ​ Thrifty rents a compact car for $35 per day, and Budget rents a similar car for $20 per day plus an initial fee of $120. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget? ​ A) ​   ​ B) ​   ​ C) ​   ​ D) ​   ​ E) ​   ​

F) A) and E)
G) B) and E)

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The figure below is the graph of both the demand function D and the supply function S for the same product, where P is the price per unit and Q is the number of units produced. Will there be a market surplus or shortage when the price P is $250? ​ The figure below is the graph of both the demand function D and the supply function S for the same product, where P is the price per unit and Q is the number of units produced. Will there be a market surplus or shortage when the price P is $250? ​   ​ A) There will be a market shortage. B) There will be a market surplus.


A) There will be a market shortage.
B) There will be a market surplus.

C) A) and B)
D) undefined

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