Answer:
253.5 miles
Step-by-step explanation:
This problem can be solved by using the concept of "ratios" and "proportions."
Step 1: Check for the "known" and "unknown" variables.
The known variables are: 5 gallons, 97.5 miles and 13 gallons while the unknown variable is the "number of miles" the car can travel using 13 gallons.
Step 2: It's time to plug the values into the proportion.
[tex]\frac{5 gallons}{97.5 miles}[/tex] = [tex]\frac{13 gallons}{x miles}[/tex]
Step 3: Solve the proportion.
[tex]\frac{5}{97.5}[/tex] = [tex]\frac{13}{x}[/tex] ⇒ 5x = 1,267.5 ⇒ x = 253.5 miles
