Question

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)
Responses

−0.003
negative 0.003

$333.33
$333.33

−$333.33
negative 333.33 dollars

0.003

Answer 1

To find the monthly decrease in the value of the car, you need to divide the total decrease in value by the number of months.

The total decrease is $4,000 over 12 months.

So, we can calculate the monthly decrease as follows:

\[
\text{Monthly Decrease} = \frac{\text{Total Decrease}}{\text{Number of Months}} = \frac{4000}{12}
\]

Now, performing the division:

\[
\frac{4000}{12} \approx 333.33
\]

Thus, the value of the car decreases by approximately $333.33 per month.

Since the decrease in value is considered a negative change, we represent it as:

\[
- \text{Monthly Decrease} = -333.33
\]

So the correct response is:

**−$333.33** (negative 333.33 dollars)