Question

2.2.PS-141You are running a fuel economy study. One of the cars you find is blue. It can travel 39miles on21241 gallons of gasoline. Another car is red. It can travel 22 miles ongallon of gasoline. What is455the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallonof gasoline?CHEThe unit rate for the blue car is mile(s) per gallon.(Simplify your answer. Type an integer, proper fraction, or mixed number.)Enter your answer in the answer box and then click Check Answer.Clear AllICheck Answer2partsremainingReview progressQuestionof 8BackNext →

Answer 1

`\begin{gathered} \text{Unit rate of blue car = 31}(3)/(5)mi\text{ per gallon} \\ \text{Unit rate of red car = 28 mi per gallon} \end{gathered}`

The blue car has traveled the greater distance on one gallon of gasoline

Step-by-step explanation:

The formula for calculating the unit rate is expressed as shown:

`\text{Rate = }\frac{Distance}{\text{number of gallons}}`

For the blue car

Distance = 39.5miles

Gallons of gasoline = 1.25 gallons

Get the unit rate:

`\begin{gathered} \text{Unit rate = }(39.5)/(1.25) \\ \text{Unit rate = 3}1.6\text{ }miles\text{ per gallon} \end{gathered}`

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;

`\begin{gathered} Unit\text{ rate = }(22.4)/(0.8) \\ \text{Unit rate = }28\text{miles per gallon} \end{gathered}`

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.