Question

Mr. Meyer recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work.
Amount Mr. Meyer spent on gas
Month Dollars spent on gas
August $58
September $95
October $85
November $85
December $83
According to the table, what was the rate of change between August and October?
$
permonth

Answer 1

To find the rate of change between August and October, we need to determine the change in the amount spent on gas from August to October and then divide that by the number of months between those two points.

1. **Amount spent on gas in August:** $58
2. **Amount spent on gas in October:** $85

**Change in amount spent:**
\[
85 - 58 = 27
\]

**Months between August and October:**
From August to October is 2 months.

**Rate of change:**
\[
\text{Rate of change} = \frac{\text{Change in amount spent}}{\text{Number of months}} = \frac{27}{2} = 13.5
\]

Therefore, the rate of change between August and October is **$13.50 per month**.