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A particular model of hybrid car can travel 53.0 miles/gallon of gas. What is this fuel efficiency expressed in the metric system? [1 quart = 0.946 L; 1 mile = 1.609 km]

A) 8.71 km/L
B) 20.2 km/L
C) 22.5 km/L
D) 90 km/L

1 Answer

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Final answer:

By converting 53.0 miles per gallon to kilometers using the conversion factors provided, the fuel efficiency of the car is calculated to be 22.5 kilometers per liter.

Step-by-step explanation:

The fuel efficiency of a particular model of hybrid car that can travel 53.0 miles per gallon needs to be expressed in the metric system. To convert miles per gallon to kilometers per liter, we use the provided conversion factors: 1 quart = 0.946 L and 1 mile = 1.609 km.

First, convert the miles to kilometers:
53.0 miles/gallon × 1.609 km/mile = 85.277 km/gallon.

Since there are 4 quarts in a gallon, we can convert gallons to liters:
85.277 km/gallon × 1 gallon/4 quarts × 0.946 L/quart = 85.277 km/3.784 L = 22.5 km/L.

Therefore, the correct answer is C) 22.5 km/L.

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