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You are running a fuel economy study. One of the cars you find is blue. It can travel 45, miles on114gallons of gasoline. Another car is red. It can travel 235 miles on5gallon of gasoline. What isthe unit rate for miles per gallon for each car? Which car could travel the greater distance onThe unit rate for the blue car is mile(s) per gallon(Simplity your answer. Type an integer, proper fraction, or mixed number.)Enter your answer in the answer box and then click Check Answer.2. partsremainingClear AllCheck Answer

You are running a fuel economy study One of the cars you find is blue It can travel 45 miles on114gallons of gasoline Another car is red It can travel 235 miles class=

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Explanation:

BLue car:

45 1/2 miles consumes 1 1/4 gallons of gasoline

The unit rate = number of miles/number of gallons used

Unit rate in miles per gallon = (45 1/2)/(1 1/4)

[tex]\begin{gathered} \text{unit rate = }\frac{91}{2}\div\frac{5}{4} \\ =\frac{91}{2}\times\frac{5}{4}=\frac{455}{8} \\ \text{unit rate = 56.875 miles per gallons} \\ \text{unit rate = 56 7/8 miles per gallon} \end{gathered}[/tex]

Red car:

23 1/5 miles consumes 4/5 gallon of gasoline

Unit rate = (23 1/5)/(4/5)

[tex]\begin{gathered} \text{unit rate = }\frac{116}{5}\div\frac{4}{5}=\frac{116}{5}\times\frac{5}{4} \\ \text{unit rate = }\frac{116}{4} \\ \text{unit rate = 29 miles per gallons} \end{gathered}[/tex]

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