word problemSSSSS

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 2165

 pounds. When carrying 44

 gallons of fuel, it weighs 2386

 pounds. How much does the airplane weigh if it is carrying 62

 gallons of fuel?

Answer 1

(10, 2165)

(44,2386)

221/34 = 6.5

B = y - mx

= 2165 - 10*6.5

= 2165 - 65 = 2100

y = 6.5x + 2100

when x=66 then y = 2529