SOLUTION: suppose that the weight (in pounds) of an airplane is a linear function ofthe amount of fuel (in gallons) in its tank. when carrying 14 gallons of fuel, the airplane weighs 2091 po

Algebra ->  College  -> Linear Algebra -> SOLUTION: suppose that the weight (in pounds) of an airplane is a linear function ofthe amount of fuel (in gallons) in its tank. when carrying 14 gallons of fuel, the airplane weighs 2091 po      Log On


   

Question 1091277: suppose that the weight (in pounds) of an airplane is a linear function ofthe amount of fuel (in gallons) in its tank. when carrying 14 gallons of fuel, the airplane weighs 2091 pounds. when carrying 48 gallons of fuel, it weighs 2312 pounds. how much does the airplane weigh if it is carrying 60 gallons of fuel?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
------------------------------------------------------------------
...linear function of the amount of fuel (in gallons)...
... when carrying 14 gallons of fuel, the airplane weighs 2091 pounds. when carrying 48 gallons of fuel, it weighs 2312 pounds. how much does the airplane weigh if it is carrying 60 gallons of fuel?
------------------------------------------------------------------

x, amount of fuel
y, weight of plane
Points in description: (14, 2091) and (48, 2312)

y=mx%2Bb
-
m=%282312-2091%29%2F%2848-14%29
m=221%2F34
m=%2813%2A17%29%2F%282%2A17%29
m=13%2F2
-
y-2091=%2813%2F2%29%28x-14%29
y=%2813%2F2%29%28x-14%29%2B2091
y=13x%2F2-91%2B2091
highlight%28y=13x%2F2%2B2000%29

The question asks for y, when x is 60.