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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 42HP
icon
Related questions
Question
100%
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage