Question

Mr. Goodwin recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work.
Amount Mr. Goodwin spent on gas
Month Dollars spent on gas
March $56
April $60
May $74
June $87
July $88
According to the table, what was the rate of change between March and June?
Round your answer to the nearest cent.
$
permonth

Answer 1

To find the rate of change between March and June, we can use the formula:

\[
\text{Rate of Change} = \frac{\text{Change in Amount}}{\text{Change in Time}}
\]

1. **Determine the change in amount spent on gas:**
- Amount spent in March: $56
- Amount spent in June: $87
- Change in amount = June amount - March amount = $87 - $56 = $31

2. **Determine the change in time:**
- From March to June is 3 months (March to April, April to May, May to June).

3. **Calculate the rate of change:**
\[
\text{Rate of Change} = \frac{31}{3} \approx 10.33
\]

Rounding to the nearest cent, the rate of change is:

\[
\text{Rate of Change} \approx 10.33 \text{ dollars per month}
\]

Thus, the rate of change between March and June is approximately **$10.33 per month**.