Question

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 funct

with a slope of 5.9. See the figure below.
With 45 gallons of fuel in its tank, the airplane has a weight of 2365.5 pounds. What is the weight of the plane with 12 gallons of fuel in its tank?
Airplane 23655
weight
(in pounds)
pounds
Х
5
?
45
Amount of fuel
(in gallons)
I Don't Know
Submit
Submit

Answer 1

2586

Explanation:

data point: (45, 2365.5)

point slipe form: y - y1 = m(x - x1)

so replace y1 with 2365.5, m with 5.9, and x1 with 45:

y - 2365.5 = 5.9 (x - 45)

y - 2365.5 = 5.9x - 45

y = 5.9x + 2320.5

f(x) = 5.9x + 2320.5 (our function)

f(45) = 5.9(45) + 2320.5

f(x) = 2586