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 caring 14 gallons of fuel the airplane weight is 2091 Pounds when caring 46 gallons of fuel it weighs 2299 pounds how much does the airplane way if its carrying 50 gallons of fuel

Answer 1

y = 6.2x + b
2222.4 = 6.2*52 + b, so b = 1900

So, we now know that

y = 6.2x + 1900

Just plug in x=26

Or, without even finding b, we know that each gallon of fuel weighs 6.2 pounds, so just subtract 26*6.2 from 2222.4

Answer 2

Wf = 8Lbs/gal.
Wa + 8x = Wt
Wa + 8*14 = 2091
Wa = 1979 Lbs. = weight of airplane without fuel.

Wa + 8x = 1979 + 8*50 =