A piece of sheet metal is 2.5 times as long as it is wide. It is to

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A piece of sheet metal is 2.5 times as long as it is wide. It is to be made into a box with an open top by cutting 3-in. squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece.

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(a) Represent the length of the original piece of sheet metal in terms of x.

(b) What are the restrictions on x?

(c) Determine a function V that represents the volume of the box in terms of x.

(d) For what values of x (that is, original widths) will the volume of the box be between 600 and 800 in.3?

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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