You purchase a new car for $23,200. The value of the car decreases by 22% each year.

Part a: Write a function that can be used to find the car's value after t years.

Part b: To the nearest dollar, estimate the value of the car after 6 years.

Question

Mathematics

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20 May, 19:41

You purchase a new car for $23,200. The value of the car decreases by 22% each year.

Part a: Write a function that can be used to find the car's value after t years.

Part b: To the nearest dollar, estimate the value of the car after 6 years.

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Answers (1)

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Laci Moreno · Answer 1

A. f (x) = 23200*0.78^t

Exponential functions follow the form y=ab^x where a is the initial value, b is the growth or decay rate (1-0.22), and x is time.

b. f (6) = 23200*0.78^6

23200*0.22519 ...

5224.630 ...

Final answer: $5224.63

You purchase a new car for $23,200. The value of the car decreases by 22% each year.Part a: Write a function that can be used to find the car's value after t years.Part b: To the nearest dollar, estimate the value of the car after 6 years.

You purchase a new car for $23,200. The value of the car decreases by 22% each year.

Part a: Write a function that can be used to find the car's value after t years.

Part b: To the nearest dollar, estimate the value of the car after 6 years.