Unit rate of blue car is 35.6 miles/gallon and unit rate of red car is 36 miles/gallon. The red car could travel the greater distance on 1 gallon of gasoline.
Explanation
Unit rate for each car can be calculated using the below formula...
Unit rate = (Distance traveled) / (Amount of gasoline)
For Blue car, distance traveled [tex]=44\frac{1}{2} = \frac{89}{2} miles[/tex] and amount of gasoline [tex]=1 \frac{1}{4}= \frac{5}{4} gallons[/tex]
So, the unit rate for blue car = [tex] \frac{89}{2}[/tex] ÷ [tex] \frac{5}{4}[/tex] = [tex] \frac{89}{2}[/tex] × [tex] \frac{4}{5}[/tex] = [tex]\frac{356}{10} = 35.6[/tex] miles/gallon
Now for Red car, distance traveled [tex]= 28\frac{4}{5} = \frac{144}{5} miles[/tex] and amount of gasoline [tex]= \frac{4}{5} gallons[/tex]
So, the unit rate for red car = [tex] \frac{144}{5}[/tex] ÷ [tex] \frac{4}{5}[/tex] = [tex] \frac{144}{5}[/tex] × [tex] \frac{5}{4}[/tex] = [tex]\frac{144}{4} = 36 [/tex] miles/gallon
As the unit rate for red car is greater than the blue car, that means the Red car could travel the greater distance on 1 gallon of gasoline.
