Problema Solution

The present cost of a car is 9,000. the cost of the car depreciates at the rate of 1,000 per year.

Part A: write a function to show the cost of the car f(t) after t years.

Part B: What is the total cost of the car after 3 years?

Part C: if the cost of the car was 500 less than the present cost what would be the cost of the car after 5 years?

Answer provided by our tutors

Part A:

f(t) = 9,000 - 1,000t

Part B:

t = 3 years

f(3) = 9,000 - 1,000*3

f(3) = 6,000

The total cost of the car after 3 years is $6,000.

Part C:

If the cost is 500 less than the present cost of 9,000 this means the cost is:

9,000 - 500 = 8,500

then the equation is:

f(t) = 8,500 - 1,000t

t = 5

f(5) = 8,500 - 1,000*5

f(5) = $3,500

The cost of the car after 5 years will be $3,500.