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 $333.33 $333.33 0.003 0.003 −0.003 negative 0.003 −$333.33

1 answer

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

The total decrease in value of the car is $4,000, and it occurs over 12 months. To find the decrease per month, you can use the following calculation:

\[ \text{Decrease per month} = \frac{\text{Total decrease}}{\text{Number of months}} = \frac{4000}{12} \]

Now, perform the division:

\[ 4000 \div 12 \approx 333.33 \]

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

Since we're dealing with a decrease in value, you could also express this as a negative value: -$333.33.

Among the provided responses, the correct answer, rounded to the nearest hundredth, is:

-$333.33