madimon
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You are running a fuel economy study. One of the cars you find is blue. can travel 35 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallons of gasoline.

1) What is the unit rate for miles per gallon for the blue car?

2) What is the unit rate for miles per gallon for the red car?

3) Which car could travel the greater distance on 1 gallon of gasoline?

Respuesta :

danieltirado

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

We have the following information:

  • Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

  • Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

  • Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

  • Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline

fichoh

The unit rate which is the ratio of the distance traveled and gallon of gasoline used for each car is :

  • Blue car = 28.4 miles per gallon
  • Red car = 34 miles per gallon.

Blue car :

  • Distance = [tex] 35 \frac{1}{2} = \frac{71}{2} [/tex]
  • Gasoline used = [tex] 1 \frac{1}{4} = \frac{5}{4} [/tex]

Unit rate per mile of gallon for the blue car :

Unit rate = [tex] \frac{71}{2} \times \frac{4}{5} = 28.4 \: miles \: per \: gallon [/tex]

Red car :

  • Distance = [tex] 27 \frac{1}{5} = \frac{136}{5} [/tex]
  • Gasoline used = [tex] \frac{4}{5} [/tex]

Unit rate per mile of gallon for the Red car :

Unit rate = [tex] \frac{136}{5} \times \frac{5}{4} = 34 \: miles \: per \: gallon [/tex]

Since, the unit rate of the Red car is greater than the unit rate of the blue car, therefore, the Red car has the greater distance on 1 gallon of gasoline

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