Exam 8: The Slope of a Line

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y varies inversely with the square of x . If y = 112 when x = 4, find y when x is 7.

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y varies directly with x . If y is - 12 when x is 2, find x when y is - 30.

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d varies directly with the square of r . If d = 80 when r = 2, find d when r = 3.

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The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) How many items must the company sell to make their maximum profit? The following graph shows the relationship between a company s profits P and the number of items it sells x . ( P is in dollars.) How many items must the company sell to make their maximum profit?

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y varies directly with x . If y is 15 when x is 3, find y when x is 5.

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Let Let   Evaluate  Evaluate Let   Evaluate

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Let Let   Evaluate     __________ Evaluate Let   Evaluate     __________ Let   Evaluate     __________ __________

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d varies directly with the square of r . If d = 375 when r = 5, find d when r = 6. d = __________

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A painting is purchased as an investment for $110. If its value increases continuously so that it doubles every 3 years, then its value is given by the function A painting is purchased as an investment for $110. If its value increases continuously so that it doubles every 3 years, then its value is given by the function   where t is the number of years since the painting was purchased, and V ( t ) is its value (in dollars) at time t . Find V (3). where t is the number of years since the painting was purchased, and V ( t ) is its value (in dollars) at time t . Find V (3).

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Suppose you have a job that pays $7.25 and hour and you work anywhere from 15 and 31 hours per week. Write an equation, with a restriction on the variable Suppose you have a job that pays $7.25 and hour and you work anywhere from 15 and 31 hours per week. Write an equation, with a restriction on the variable   that gives the amount of money   you will earn for working   hours in one week. that gives the amount of money Suppose you have a job that pays $7.25 and hour and you work anywhere from 15 and 31 hours per week. Write an equation, with a restriction on the variable   that gives the amount of money   you will earn for working   hours in one week. you will earn for working Suppose you have a job that pays $7.25 and hour and you work anywhere from 15 and 31 hours per week. Write an equation, with a restriction on the variable   that gives the amount of money   you will earn for working   hours in one week. hours in one week.

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