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.)
is the answer positive or negative?
is the answer positive or negative?
Answers
GPT-4o mini
To find out how much the value of the car decreases per month, we need to divide the total decrease in value by the number of months.
The total decrease in value is $4,000, and the time period is 12 months. We can express this mathematically as:
\[
\text{Decrease per month} = \frac{\text{Total decrease}}{\text{Number of months}} = \frac{4000}{12}
\]
Now, performing the division:
\[
\frac{4000}{12} \approx 333.33
\]
Therefore, the value of the car decreases approximately $333.33 per month.
Since a decrease in value is typically represented as a negative change, the answer can be expressed as:
\[
-333.33
\]
So the decrease per month is approximately \(-333.33\), and it is negative, indicating a reduction in value.
The total decrease in value is $4,000, and the time period is 12 months. We can express this mathematically as:
\[
\text{Decrease per month} = \frac{\text{Total decrease}}{\text{Number of months}} = \frac{4000}{12}
\]
Now, performing the division:
\[
\frac{4000}{12} \approx 333.33
\]
Therefore, the value of the car decreases approximately $333.33 per month.
Since a decrease in value is typically represented as a negative change, the answer can be expressed as:
\[
-333.33
\]
So the decrease per month is approximately \(-333.33\), and it is negative, indicating a reduction in value.