The cost of a certain new car is 38,000 the value of the car depreciates at a rate of three percent per year write a function f (x) that's models the value of the car x years after it's purchase

Answer: f (x) = 38000 (0.97) ^x

Step-by-step explanation:

We would apply the formula for depreciation which is expressed as

A = P (1 - r) ^ t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents the rate at which the car is depreciating

From the information given,

P = 38000

r = 3% = 3/100 = 0.03

t = x years

Therefore, the function f (x) that's models the value of the car x years after it's purchase would be

f (x) = 38000 (1 - 0.03) ^x

f (x) = 38000 (0.97) ^x