Solve using division of rational numbers. If a car’s value decreases by $4,000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)

Question

Responses

−0.003
negative 0.003

0.003
0.003

−$333.33
negative 333.33 dollars

$333.33
$333.33

Answer 1

To find the monthly decrease in the car's value, we divide the total decrease in value by the number of months.

The car's value decreases by $4,000 over 12 months, so we calculate:

\[ \text{Monthly decrease} = \frac{-4000}{12} \]

Calculating this gives:

\[ \text{Monthly decrease} = -333.33\overline{3} \]

When rounding to the nearest hundredth, it becomes:

\[ -333.33 \]

Thus, the value decreases by −$333.33 each month.

So the correct response is:

−$333.33 (negative 333.33 dollars).