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 function gives a line with a slope of 5.9 .

With 47 gallons of fuel in its tank, the airplane has a weight of 2177.3 pounds. What is the weight of the plane with 81 gallons of fuel in its tank?

Answer 1

well write the equation in slope intercept form

y = mx + b

so let weight = w and fuel = f

you know the slope so the equation is

w = 5.9f + b

to find the value of b, use the information w = 2177.3 when f = 47

so substituting you get

2177.3 = 5.9 x 47 + b

solve for b.

when you have the equation, substitute f = 81 to find the weight

Answer 2

b= 1990?

Answer 3

ummm I got 1900

Answer 4

oh yeah got.. sorry:)

Answer 5

so the equation is

w = 5.9f + 1900

just substitute f = 81 to find the weight

Answer 6

is it 2377.9 ?

Answer 7

yep... thats the answer I got

Answer 8

thank you :)