Question

The table below shows that the number of miles driven by Hannah is directly proportional to the number of gallons she used.
Gallons UsedGallons Used Miles DrivenMiles Driven
28 616
31 682
36 792
What is the rate of gas usage, in miles per gallon?

Answer 1

To find the rate of gas usage in miles per gallon, we can calculate the miles driven per gallon used for the data provided. Since the relationship is directly proportional, we can calculate the miles per gallon from the given values.

Let's calculate the miles per gallon for each pair of gallons used and miles driven:

1. For 28 gallons and 616 miles:
\[
\text{Miles per gallon} = \frac{616 \text{ miles}}{28 \text{ gallons}} = 22 \text{ miles/gallon}
\]

2. For 31 gallons and 682 miles:
\[
\text{Miles per gallon} = \frac{682 \text{ miles}}{31 \text{ gallons}} \approx 22 \text{ miles/gallon}
\]

3. For 36 gallons and 792 miles:
\[
\text{Miles per gallon} = \frac{792 \text{ miles}}{36 \text{ gallons}} = 22 \text{ miles/gallon}
\]

All calculations yield the same result.

Therefore, the rate of gas usage is \( \text{22 miles per gallon} \).