A rectangle is 2.5 times as long as it is wide. Squares of side 4 inches are cut out from each corner. Then the sides are folded up to make an open box. Express the volume of the box as a function of the width (w). O V(w) = 4(w - 4)(2.5w - 8) = 10w² - 72w + 128 V(w) = 4(w - 8)(2.5w - 8) = 10w² - 112w + 256 V(w) = 4(w - 8)(2.5w - 8) = 2.5w2 - 112w + 256 O Y(W) = 4(w - 8(2.5w - 10) = 10w? - 120w + 320

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A rectangle is 2.5 times as long as it is wide. Squares of side 4 inches are cut out from each corner. Then the sides are folded up to make an open box. Express the volume of the
box as a function of the width (w).
V(w) = 4(w - 4)(2.5w - 8) = 10w2 - 72w + 128
V(w) = 4(w - 8)(2.5w - 8) = 10w2 - 112w + 256
V(w) = 4(w - 8)(2.5w - 8) = 2.5w2 - 112w + 256
V(w) = 4(w - 8)(2.5w - 10) = 10w2 - 120w + 320
%3D
%3D
Transcribed Image Text:A rectangle is 2.5 times as long as it is wide. Squares of side 4 inches are cut out from each corner. Then the sides are folded up to make an open box. Express the volume of the box as a function of the width (w). V(w) = 4(w - 4)(2.5w - 8) = 10w2 - 72w + 128 V(w) = 4(w - 8)(2.5w - 8) = 10w2 - 112w + 256 V(w) = 4(w - 8)(2.5w - 8) = 2.5w2 - 112w + 256 V(w) = 4(w - 8)(2.5w - 10) = 10w2 - 120w + 320 %3D %3D
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