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 10 gallons of fuel, the airplane weighs 2026 pounds. When carrying 25 gallons of fuel, it weighs 2155 pounds. How much does the airplane weigh if it is carrying 35 gallons of fuel?

Question

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 10 gallons of fuel, the airplane weighs 2026 pounds. When carrying 25 gallons of fuel, it weighs  2155 pounds. How much does the airplane weigh if it is carrying 35 gallons of fuel?

R_scott · Answer

25 g - 10 g = 2155 - 2026 15 g = 129 ... g = 129 / 15 add the weight of 10 gallons to the 25 gallon total weight