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14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this piece of cardboard such that the box has maximum volume. X X L X L-2X W-2x W a. Write an equation in terms of x for the volume of the box. b. What are the real-world possible values for x, express in interval notation? c. Using your graphing calculator find the value for x such that this value maximizes the volume of the created box.

14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this piece of cardboard such that the box has maximum volume. X X L X L-2X W-2x W a. Write an equation in terms of x for the volume of the box. b. What are the real-world possible values for x, express in interval notation? c. Using your graphing calculator find the value for x such that this value maximizes the volume of the created box.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 46PS
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14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this piece of cardboard such that the box has maximum volume. X X L X L-2X W-2x W a. Write an equation in terms of x for the volume of the box. b. What are the real-world possible values for x, express in interval notation? c. Using your graphing calculator find the value for x such that this value maximizes the volume of the created box.
Transcribed Image Text:14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this piece of cardboard such that the box has maximum volume. X X L X L-2X W-2x W a. Write an equation in terms of x for the volume of the box. b. What are the real-world possible values for x, express in interval notation? c. Using your graphing calculator find the value for x such that this value maximizes the volume of the created box.
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