Question

3. The Mitchell family took a road trip from Detroit to Toronto. Their route was 750 kilometers long and required 54 liters of gas.
a. What was the family’s fuel efficiency in miles per gallon? Round to the nearest tenth.



b. Suppose the Mitchells plan to drive to Washington, D.C. on their next road trip. Assuming they get the same mileage as you calculated in part a, calculate the cost of their 1060-mile route if gasoline costs $2.35 per gallon.

Answer 1

The family’s fuel efficiency in miles per gallon is 32.67miles/gallon .The cost of their 1060-mile route if gasoline costs $2.35 per gallon  is $ 76.234.

What is Distance Travelled ?

The measure of the length between two points is called Distance.

It is a scalar quantity.

The family's fuel efficiency =  Distance travelled/ Fuel required

= 750/54

= 13.89 km/l

= 13.89* 0.621/0.264  miles/gallon

=32.67miles/gallon

For the same fuel efficiency ,

cost for Washington DC trip

Distance = 1060 mile

fuel required = 1060/32.67

=32.44 gallon

Cost of 1 gallon = $2.35

Cost of 32.44 gallon = 32.44 * 2.35

=$76.234

The cost of their 1060-mile route if gasoline costs $2.35 per gallon  is $ 76.234.

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