Answer :
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
