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
A computer is going to be shipped in a box that measures x inches on the 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
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