Question

Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Desmond can sell his car for today?

8,000 + 24x
8,000 − 24x
8,000 + 2x
8,000 − 2x

Answer 1

8,000-24x

Explanation:

there's 24 months in 2 years. If it's value decreased from 8,000 at a constant rate over a 2 year period, the equation would be 8,000-24x

Answer 2

B.
`8,000-24x`.

Explanation:

We have been given that Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period.

Since the value of car depreciates at a constant rate each month, so the value of car depreciated in 2 years would be
`2* 12=24`.

There are 24 months in two years, so value of car depreciated in 2 years would be 24x.

The initial value of car is $8,000, so value of car after 2 years would be
`8,000-24x`.

Therefore, option B is the correct choice.