Solve using division of rational numbers. If a car’s value decreases by $2,500 in the first 6 months, how much does the value decrease per month? (Round to the nearest hundredth.) (1 point)

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1 answer

To find the value decrease per month, we need to divide the total decrease in value by the number of months. The total decrease in value is $2,500 and the number of months is 6.

We can set up the division as follows:

\[ \text{Decrease per month} = \frac{\text{Total decrease}}{\text{Number of months}} = \frac{2500}{6} \]

Now, we can perform the division:

\[ 2500 \div 6 \approx 416.6667 \]

To round this to the nearest hundredth, we consider the third decimal place (6), which leads us to round up:

So, \(416.6667\) rounded to the nearest hundredth is \(416.67\).

Thus, the value decreases by approximately $416.67 per month.