SOLUTION: Melissa plans to ship a computer in a cubic box that measures x inches on a side. She later determines that her shipping cost will be less if she uses a rectangular box that is 3 i

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Question 204981: Melissa plans to ship a computer in a cubic box that measures x inches on a side. She later determines that her shipping cost will be less if she uses a rectangular box that is 3 inches shorter and 5 inches longer than the cubic box. Write an equation V(x) for the volume of the new box and match your result to the correct answer below.
A) V(x) = x3 – 15x in3
B) V(x) = x3 + 2x – 15 in3
C) V(x) = x3 – 2x2 – 15x in3
D) V(x) = x3 + 2x2 – 15x in3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Melissa plans to ship a computer in a cubic box that measures x inches on a side.
She later determines that her shipping cost will be less if she uses a
rectangular box that is 3 inches shorter and 5 inches longer than the cubic box.
Write an equation V(x) for the volume of the new box
:
Assuming that the new box has the same height (x)
:
V(x) = x * (x+5) * (x-3)
FOIL
V(x) = x * (x^2 - 3x + 5x - 15)
:
V(x) = x * (x^2 + 2x - 15)
Multiply by x
V(x) = x^3 + 2x^2 - 15x cu/inches