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

−$333.33
negative 333.33 dollars

−0.003
negative 0.003

$333.33
$333.33

0.003

Answer 1

To find how much the value of the car decreases per month, we divide the total decrease in value by the number of months.

The total decrease in the car's value is $4,000 and it occurs over 12 months.

We calculate it as follows:

\[ \text{Decrease per month} = \frac{-4000}{12} \]

Now we perform the division:

\[ -4000 \div 12 = -333.33\overline{3} \]

Rounding to the nearest hundredth, we get:

\[ -333.33 \]

So, the value decreases approximately \(-333.33\) dollars per month.

The correct response is:

−$333.33