Question

Sammy bought a new car. the depreciation equation is given by f(x) = 30,000(.85)x, where x represents the number of years since the purchase of the car, and f(x) represents the value of the car. what is the initial value of the car?

a. $0
b. $25,500.00
c. $30,000.00
d. $35,294.12

Answer 1

B.15% I found it online so I can't explain it but to post this I need 20 characters

Answer 2

Answer: C. $30,000

Explanation:

Given: Sammy bought a new car. the depreciation equation is given by
`f(x)=30,000(.85)^x` , where x represents the number of years since the purchase of the car, and f(x) represents the value of the car.

To calculate the initial value of the car, we need to put x=0 in the given equation, we get

`f(x)=30,000(.85)^0=30,000*1=30,000`

Hence, the initial value of car is $30,000.