SOLUTION: In 2013 your car was worth $11,000. In 2015 your car was worth $7,300. a. Suppose the value of your car decreased at a constant rate of change. Write a function f that determin

Algebra ->  Equations -> SOLUTION: In 2013 your car was worth $11,000. In 2015 your car was worth $7,300. a. Suppose the value of your car decreased at a constant rate of change. Write a function f that determin      Log On


   

Question 1124426: In 2013 your car was worth $11,000. In 2015 your car was worth $7,300.
a. Suppose the value of your car decreased at a constant rate of change. Write a function f that determines the value of your car (in dollars) in terms of the number of years t since 2013.
b. Suppose the value of your car decreased exponentially. Write a function g that determines the value of your car (in dollars) in terms of the number of years t since 2013.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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In 2013 your car was worth $11,000. In 2015 your car was worth $7,300.
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Points (0,11000) and (2, 7300).

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a. Suppose the value of your car decreased at a constant rate of change. Write a function f that determines the value of your car (in dollars) in terms of the number of years t since 2013.
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f%28t%29=%28%287300-11000%29%2F%282%29%29t%2B11000
highlight_green%28f%28t%29=-1850t%2B11000%29

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b. Suppose the value of your car decreased exponentially. Write a function g that determines the value of your car (in dollars) in terms of the number of years t since 2013.
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11000%2Ab%5E2=7300
b%5E2=7300%2F11000
b=sqrt%2873%2F110%29
b=0.8146
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highlight_green%28g%28t%29=11000%2A%280.8146%29%5Et%29