Answer:
Explanation:
For Blue Car:
Distance = 33 & 1/2 miles
Gasoline = 1 & 1/4 gallons
For Red Car:
Distance = 22 & 2/5 miles
Gasoline = 4/5 gallon
To determine the rate unit rate for miles per gallon for each car, we use the following formula:
[tex]Unit\text{ Rate = }\frac{\text{Distance}}{\text{Gasoline consumption}}[/tex]
First, we find the unit rate for blue car:
[tex]\begin{gathered} \text{Unit Rate=}\frac{33\text{ }\frac{1}{2}\text{ miles}}{1\text{ }\frac{1}{4}\text{ gallons}} \\ \end{gathered}[/tex]
Convert mixed numbers to improper fractions: 33 & 1/2 = 67/2 and 1 & 1/4 = 5/4
[tex]\begin{gathered} \text{Unit Rate = }\frac{\frac{67}{2}}{\frac{5}{4}} \\ \text{Simplify and rearrange:} \\ =\frac{67(4)}{2(5)} \\ \text{Calculate} \\ =\frac{134\text{ miles}}{5\text{ gallon}}\text{ } \\ or\text{ }26.8\text{ miles/gallon} \end{gathered}[/tex]
Next, we find the unit rate for red car:
[tex]\begin{gathered} \text{Unit Rate = }\frac{22\frac{2}{5}}{\frac{4}{5}} \\ \text{Simplify and rearrange} \\ =\frac{\frac{112}{5}}{\frac{4}{5}} \\ =\frac{112(5)}{5(4)} \\ \text{Calculate} \\ =28\text{ miles/gallon} \end{gathered}[/tex]
Therefore, the car that could travel the greater distance on 1 gallon of gasoline is the red car.
