Question

In the United States, the common paper size is called letter size and measures 8. 5 by 11 inches. Let

V(x)= (8. 5-2x)(11-2x) (x) be the volume in cubic inches of a box made from a letter size paper

by cutting out squares of side length x in inches from each corner and then folding up the sides.

What is a reasonable domain for V in this context? Explain or show your reasoning.


PLs help

Answer 1

0 < x < 4.5

Explanation:

You want the reasonable domain of V(x) = (8.5 -2x)(11 -2x).

Reasonable domain

The equation describes volume (V) and cut length (x), so both need to be positive. Volume will be positive when ...

8.5 -2x > 0

4.25 > x

The reasonable domain is 0 < x < 4.5.