SOLUTION: With 51 gallons of fuel in its tank, the airplane has a weight of 2321.3 pounds. What is the weight of the plane with 79 gallons of fuel in its tank? The slope is 6.3.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: With 51 gallons of fuel in its tank, the airplane has a weight of 2321.3 pounds. What is the weight of the plane with 79 gallons of fuel in its tank? The slope is 6.3.       Log On


   



Question 341541: With 51 gallons of fuel in its tank, the airplane has a weight of 2321.3 pounds. What is the weight of the plane with 79 gallons of fuel in its tank? The slope is 6.3.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
With 51 gallons of fuel in its tank, the airplane has a weight of 2321.3 pounds. What is the weight of the plane with 79 gallons of fuel in its tank? The slope is 6.3.
:
Using the slope intercept form mx + b = y
Where
m = 6.3
x = 51 (fuel)
y = 2321.3 (total weight, plane & fuel)
b = weight of the plane alone
:
6.3(51) + b = 2321.3
321.3 + b = 2321.3
b = 2321.3 - 321.3
b = 2000 lb is the weight of the plane
:
y = 6.3x + 2000, is the equation
x = 79
y = 6.3(79) + 2000
y = 497.7 + 2000
y = 2497.7 total weight with 79 gal of fuel