A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. (1.7, 81.87) V a. The point (1.25, 77.188) is on the graph. This means that when the volume of the box is cubic inches, the cutout length is inches. b. When the cutout length is 3 inches, the volume of the box is 54 cubic inches. This means that the point is on the graph above. c. Suppose the largest possible cutout length is 4.5 inches. Over what interval of x does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.) Preview

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 1P
icon
Related questions
Question
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph
below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in
inches, x.
(1.7, 81.87)
V
a. The point (1.25, 77.188) is on the graph. This means that when the volume of the box is
cubic
inches, the cutout length is
inches.
b. When the cutout length is 3 inches, the volume of the box is 54 cubic inches. This means that the point
is on the graph above.
c. Suppose the largest possible cutout length is 4.5 inches. Over what interval of x does the volume of the box
decrease as the cutout length gets larger? (Enter your answer as an interval.)
Preview
Transcribed Image Text:A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. (1.7, 81.87) V a. The point (1.25, 77.188) is on the graph. This means that when the volume of the box is cubic inches, the cutout length is inches. b. When the cutout length is 3 inches, the volume of the box is 54 cubic inches. This means that the point is on the graph above. c. Suppose the largest possible cutout length is 4.5 inches. Over what interval of x does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.) Preview
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage