A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. However, the size of the paper is unknown! The function f determines the volume of the box (in cubic inches) given a cutout length (in inches). a. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.4 inchog

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 4T: The path of a ball is modeled by the function f(x)=120x2+3x+5, where fx is the height (in feet) of...
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. However, the
size of the paper is unknown!
The function f determines the volume of the box (in cubic inches) given a cutout length (in inches).
a. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.4
inches.
0.4(a-0.8)(b-0.8)
Preview
b. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 1.1
inches.
1.1(a-2.2)(b-2.2)
Preview
c. Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout
length increases from 0.4 inches to 1.1 inches.
Preview
d. Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout
length increases from 5.2 inches to 5.3 inches.
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. However, the size of the paper is unknown! The function f determines the volume of the box (in cubic inches) given a cutout length (in inches). a. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 0.4 inches. 0.4(a-0.8)(b-0.8) Preview b. Use function notation to represent the volume of the box (in cubic inches) when the cutout length is 1.1 inches. 1.1(a-2.2)(b-2.2) Preview c. Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 0.4 inches to 1.1 inches. Preview d. Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 5.2 inches to 5.3 inches. Preview
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning