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Question 20
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 14 gallons of fuel, the airplane weighs 2191 pounds. When carrying 46 gallons of fuel, it weighs 2399 pounds. How much does the airplane weigh if it is carrying 64 gallons of fuel?

2516 pounds

Step-by-step explanation:

find the difference in gallons and the difference in the weights

46 - 14 = 32 gallons

2399 - 2191 = 208 pounds

 so 32 gallons of gas weighs 208 pounds

find weight per pound: 208 pounds / 32 gallons = 6.5 pounds per gallon

 round to 6.5 pounds per gallon

64 gallons - 46 gallons = 18 gallons

 18 gallons x 6.5 pounds per gallon = 117 pounds

2399 + 117 = 2516  weight of plane with 64 gallons