Question

Eric wants to sell his car that he paid $7,000 for 3 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, which expression shows how much Eric can sell his car for today?

A.7,000 − 3x
B.7,000 + 3x
C.7,000 − 36x
D.7,000 + 36x

Answer 1

Option C. 7,000 − 36x

Explanation:

Let

y ----> depreciated value of the car

x---> rate of depreciation

t ----> the time in months

we know that

The linear equation that represent this situation is

y=7,000-xt

For

t=3 years

Convert to months

t=3*12=36 months

substitute

y=7,000-x(36)

y=7,000-36x