Question

1. gas mileage is the number of miles you can drive on a gallon of gasoline. a test of a new car results in 510 miles on 20 gallons of gas. how far could you drive on 65 gallons of gas?

proportions with units

Explanation:

Step1: Find miles per gallon

First, find the miles per gallon (mpg) using the test data. The car drives 510 miles on 20 gallons. So, mpg = $\frac{510}{20}$ = 25.5 miles per gallon.

Step2: Calculate distance for 65 gallons

Now, use the mpg to find the distance for 65 gallons. Distance = mpg × gallons = 25.5 × 65.
Calculate 25.5 × 65: 25 × 65 = 1625, 0.5 × 65 = 32.5, so total is 1625 + 32.5 = 1657.5 miles.
Or, using proportion: $\frac{510}{20} = \frac{x}{65}$, cross - multiply: 20x = 510×65, 20x = 33150, x = $\frac{33150}{20}$ = 1657.5.

Answer:

1657.5 miles