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
Algebra.Com
Question 401150: 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 5.5 .
With 51 gallons of fuel in its tank, the airplane has a weight of 2280.5 pounds. What is the weight of the plane with 25 gallons of fuel in its tank?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is exactly the same problem as:
Find a linear function that has a slope of 5.5 and which graph contains the point (51, 2280.5). Then evaluate )
Use the point-slope form of an equation of a line:
 )
where )
are the coordinates of the given point and 
is the given/calculated slope.
)
\ =\ 5.5(x\ -\ 51)\ +\ 2280.5)
You really don't have to do any more to this for the purposes of the problem, but go ahead and simplify it as pleases you.
Finally, evaluate:
\ =\ 5.5(25\ -\ 51)\ +\ 2280.5)
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Suppose that the weight (in pounds) of an airplane is a linear function of the total... (answered by josgarithmetic,ikleyn)
Suppose that the weight (in pounds) of an airplane is a linear function of the total... (answered by josgarithmetic,ikleyn)
Suppose that the weight (in pounds) of an airplane is a linear function of the total... (answered by richwmiller)
Suppose that the weight (in pounds) of an airplane is a linear function of the total... (answered by Earlsdon)
Suppose that the weight (in pounds) of an airplane is a linear function of the total... (answered by nerdybill)
Suppose that the weight (in pounds) of an airplane is a linear function of the total... (answered by ankor@dixie-net.com)
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of... (answered by stanbon)
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of... (answered by Alan3354)
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of... (answered by ikleyn)
