A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inches by 11-inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box.  l=11-2x b. Given the following starting and ending values of x, find the change in x and the resulting change in l.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inches by 11-inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box. 

l=11-2x

b. Given the following starting and ending values of x, find the change in x and the resulting change in l.

a. Write formulas for length, width, and volume of the box, each in terms of x .
Preview
W =
Preview
Preview
V =
Preview
b. Given the following starting and ending values of x , find the change in x and the resulting change in l.
x changes from ...
Ax
Al
0 to 0.5 in
0.5 to 1.5 in
1 to 4 in
Does l change at a constant rate with respect to x ? If yes, enter the appropriate value to complete the statement.
If no, enter "DNE".
Al =
Дх.
Transcribed Image Text:a. Write formulas for length, width, and volume of the box, each in terms of x . Preview W = Preview Preview V = Preview b. Given the following starting and ending values of x , find the change in x and the resulting change in l. x changes from ... Ax Al 0 to 0.5 in 0.5 to 1.5 in 1 to 4 in Does l change at a constant rate with respect to x ? If yes, enter the appropriate value to complete the statement. If no, enter "DNE". Al = Дх.
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