Middle School

Find the unit rate.

150 mi on 10 gal of gas

A. 15 mi per gal
B. 10 mi per gal
C. 150 mi per gal

Answer :

The unit rate of miles per gallon is found by dividing the total miles (150 mi) by the total gallons (10 gal), resulting in a unit rate of A) 15 miles per gallon.

To find the unit rate of miles per gallon when given 150 miles on 10 gallons of gas, we divide the total number of miles driven by the number of gallons of gas used. The calculation is as follows:

Write down the given values: 150 miles (mi) and 10 gallons (gal).

Divide the total miles by the total gallons to find the unit rate: 150 mi ÷ 10 gal = 15 mi/gal.

Therefore, the unit rate is 15 miles per gallon, which is option A: 15 mi per gal.

A. 15 mi per gal

We can set this as a ratio. 150:10. 150 bent how miles driven and 10 being how many gallons has been used.

Next you want to make it to where the 10 (how many gallons of gas used) is one. So you need to think what times or divides 10 so that it become one. You could either multiply by 0.1 or divide by 10. We’ll make it easier so let’s divide by 10. Now that you divided by 10 it will look like this 150:1. BUT since it is a ratio, you must do what you did on one side to the other, so divide 150 by 10 which will leave you with the ratio 15:1. The unit rate is 15 miles driven with one gallon of gas.