Answer:
[tex]\begin{gathered} \text{Unit rate of blue car = 31}\frac{3}{5}mi\text{ per gallon} \\ \text{Unit rate of red car = 28 mi per gallon} \end{gathered}[/tex]
The blue car has traveled the greater distance on one gallon of gasoline
Explanation:
The formula for calculating the unit rate is expressed as shown:
[tex]\text{Rate = }\frac{Distance}{\text{number of gallons}}[/tex]
For the blue car
Distance = 39.5miles
Gallons of gasoline = 1.25 gallons
Get the unit rate:
[tex]\begin{gathered} \text{Unit rate = }\frac{39.5}{1.25} \\ \text{Unit rate = 3}1.6\text{ }miles\text{ per gallon} \end{gathered}[/tex]
The unit rate of the blue car as a mixed fraction is 31 3/5 miles per gallon
For the red car
Distance traveled = 22.4 miles
Gallons of gasoline = 0.8 gallons of gasoline
Get the unit rate of the red car;
[tex]\begin{gathered} Unit\text{ rate = }\frac{22.4}{0.8} \\ \text{Unit rate = }28\text{miles per gallon} \end{gathered}[/tex]
From the unit rates, we can see that the blue car has traveled the greater distance on one gallon of gasoline since its unit rate is greater than that of the red car.
