How much does the airplane weigh if it’s carrying 50 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 15 gallons of fuel, the airplane weighs 2196 pounds. when carrying 35 gallons of fuel, it weighs 2324 pounds. how much does the airplane weigh if its carrying 50 gallons of fuel?

Answer 1

(15, 2196), (35,2324), (50, ?)

slope = (2324-2196)/(35-15) = 128/20 = 64/10 = 32/5

32/5 = (y-2196)/(x-15)

y -2196 = 32x/5 -96

y = 32x/5 -96+2196

y = 32x/5 +2100

y = 32(50)/5 +2100

y = 2420 pounds when the tank has 50 gallons