Question

You are running a fuel economy study. One of the cars you find is blue. It can travel 41 1/2 miles on 1 1/4 gallon of gasoline. Another car is red. It can travel 28 4/5 miles on fourths gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car can travel the greater distance on? a) 33.2 miles/gallon

b) 35 miles/gallon
c) 34.4 miles/gallon
d) 32.8 miles/gallon

Answer 1

The unit rate for miles per gallon for the blue car is 33 1/3 miles/gallon and for the red car is 115 miles/gallon. The red car can travel the greater distance on a gallon of gasoline.

Step-by-step explanation:

The unit rate for miles per gallon for each car can be found by dividing the distance traveled by the amount of gasoline used. Let's calculate the unit rate for each car:

For the blue car, it can travel 41 1/2 miles on 1 1/4 gallon of gasoline. To find the unit rate, we divide 41 1/2 by 1 1/4:

41 1/2 ÷ 1 1/4 = 33 1/3 miles/gallon.

For the red car, it can travel 28 4/5 miles on fourths gallon of gasoline. To find the unit rate, we divide 28 4/5 by 1/4:

28 4/5 ÷ 1/4 = 115 miles/gallon.

Therefore, the unit rate for miles per gallon for the blue car is 33 1/3 miles/gallon and for the red car is 115 miles/gallon.

Since the red car has a higher unit rate, it can travel the greater distance on a gallon of gasoline.