Question

If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? How can this change be represented as a rational number?(1 point)
Responses

$333.33
333 point 3 3 dollars

$0.003
0 point 0 0 3 dollars

−$0.003
negative 0 point 0 0 3 dollars

−$333.33
negative 333 point 3 3 dollars
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Answer 1

To find out how much the value of the car decreases per month when its value decreases by $4000 in the first 12 months, you would divide the total decrease by the number of months:

\[
\text{Monthly decrease} = \frac{\text{Total decrease}}{\text{Number of months}} = \frac{4000}{12}
\]

Calculating this gives:

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

So, the car's value decreases by approximately $333.33 per month. Since the decrease represents a loss in value, it can be expressed as a negative rational number:

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

Thus, the correct representation of this change as a rational number is:

**−$333.33** (negative 333 point 3 3 dollars)