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
Answers
GPT-4o mini
To find the monthly decrease in the car's value, you can divide the total decrease ($4000) by the number of months (12):
\[
\text{Monthly decrease} = \frac{4000}{12} \approx 333.33
\]
Thus, the value decreases by approximately $333.33 per month.
Represented as a rational number, the exact decrease per month is \( \frac{4000}{12} \), which simplifies to:
\[
\frac{1000}{3} \approx 333.\overline{3}
\]
However, considering the provided responses, the best option that matches the monthly decrease of approximately $333.33 is:
**−$333.33** (Note that in the context of depreciation, it’s common to denote decreases as negative values.)
\[
\text{Monthly decrease} = \frac{4000}{12} \approx 333.33
\]
Thus, the value decreases by approximately $333.33 per month.
Represented as a rational number, the exact decrease per month is \( \frac{4000}{12} \), which simplifies to:
\[
\frac{1000}{3} \approx 333.\overline{3}
\]
However, considering the provided responses, the best option that matches the monthly decrease of approximately $333.33 is:
**−$333.33** (Note that in the context of depreciation, it’s common to denote decreases as negative values.)