Question

suppose that the distance a car travels varies directly with the amount of gasoline it uses. a certain car uses 22 gallons of gasoline to travel 396 miles. if the car travels 450 miles, how much gasoline does it need?
(square) gallons

Explanation:

Step1: Find the rate of miles per gallon

The car uses 22 gallons to travel 396 miles. So the rate \( r=\frac{396}{22} \) miles per gallon. Calculating, \( \frac{396}{22} = 18 \) miles per gallon.

Step2: Calculate gallons for 450 miles

Let \( x \) be the gallons needed. Since distance varies directly with gasoline, \( \text{distance}=r\times\text{gallons} \). So \( 450 = 18\times x \). Solving for \( x \), we get \( x=\frac{450}{18} \). Calculating, \( \frac{450}{18}=25 \).

Answer:

25