a vehicle uses 1 1/8 gallons of gas to travel 13 1/2 miles. at this rate how many miles can the vehicle travel per gallon of gas

Respuesta :

Answer:

The vehicle can travel 12 miles per gallon of gas.

Step-by-step explanation:

  • The number of gallons used by a vehicle = 1 1/8 gallons

i.e.

[tex]1\frac{1}{8}=\frac{9}{8}[/tex] gallons

  • The number of miles traveled by a vehicle = 13 1/2 miles

i.e.

[tex]13\frac{1}{2}=\frac{27}{2}[/tex] miles

Thus,

Total Gallons =9/8 gallons

Total Distance in miles = 27/2 miles

Hence:

Unit Rate = [27/2 miles] / [9/8 gallons]

                = 12 miles per gallons  ∵ [tex]\frac{27}{2}\div \frac{9}{8}=12[/tex]

   

Therefore, the vehicle can travel 12 miles per gallon of gas.