Diana went on a trip over spring break. She traveled 479.4 miles and used 17 gallons of gas. At what unit rate did Diana use gasoline?

A.
45.2 miles per gallon
B.
29.96 miles per gallon
C.
28.2 miles per gallon
D.
462.4 miles per gallon

1 answer

To determine the unit rate at which Diana used gasoline, we can calculate the miles per gallon by dividing the total miles traveled by the total gallons of gas used.

Diana traveled 479.4 miles and used 17 gallons of gas.

The formula to find miles per gallon (mpg) is:

\[ \text{mpg} = \frac{\text{Total miles}}{\text{Total gallons}} \]

Substituting the values:

\[ \text{mpg} = \frac{479.4 \text{ miles}}{17 \text{ gallons}} \approx 28.2 \text{ miles per gallon} \]

Therefore, the unit rate at which Diana used gasoline is approximately 28.2 miles per gallon.

The correct answer is C. 28.2 miles per gallon.