SOLUTION: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope o
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Question 1034625: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 5.6 . See the figure below. With 45 gallons of fuel in its tank, the airplane has a weight of 2352 pounds. What is the weight of the plane with 14gallons of fuel in its tank? Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Don't have the diagram but I think I can help...if the slope is 5.6, we have
y = 5.6x + b
for starters...now with x = 45, we have y = 2352 and we can find b...
2352 = 5.6(45) + b
2352 = 252 + b
b = 2100
Thus our equation is
y = 5.6x + 2100
With only 14 gallons, x = 14 and
y = 5.6(14) + 2100 = 2178.4 pounds
