1. 2.7 Mathematical Models: Constructing Functions

2. An open box with a square base is to be made from a square piece of cardboard 30 inches wide on a side by cutting out a square from each corner and turning up the sides.
(A) Express the volume V of the box as a function of the length x of the side of the square cut from each corner.

4. Volume = (length)(width)(height)
(B) Graph V=V(x).

5. V is largest (2000 cubic inches), when x = 5 inches.
(C) For what value of x is V largest?
V is largest (2000 cubic inches), when x = 5 inches.