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Question

Difficulty: EasyDirect Proportions

A military cargo plane consumes 400400 gallons of fuel to fly 150150 miles. At this rate, how many gallons of fuel will the plane consume to fly a distance of 600600 miles?

  1. A
    100
  2. B
    320
  3. 1,600Answer
  4. D
    16,000

Answer

1,600
The relationship between distance and fuel consumption is a direct proportion. Because the new distance (600600 miles) is exactly 44 times the original distance (150150 miles), the fuel needed is also 44 times the original amount. Multiplying 400400 gallons by 44 yields 1,6001,600 gallons.

Step-by-Step Solution

1
Determine the scale factor between the two distances.
600÷150=4600 \div 150 = 4
Since the rate of fuel consumption is constant, finding how many times greater the new distance is allows us to scale the fuel proportionally.
2
Multiply the original fuel amount by the scale factor.
400×4=1,600400 \times 4 = 1,600
Direct proportion dictates that if the distance is multiplied by 4, the fuel required must also be multiplied by 4.

Key Concept

Direct Proportions
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Topics

Direct Proportions

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