Solve step 5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve step 5
A rectangular page is designed to contain 121 square inches of print. The margins at the top and bottom of
the page are each 2 Inches deep. The margins on each side are 1½ inches wide. What should the dimensions
of the page be so that the least amount of paper is used?
Step 1
Let x be the width of the page. Let y be the height of the page. Let A be the total area of the page. Write an
equation for A in terms of x and y.
A = Xy
ry
Step 2
Use the information in the problem to write the total print area in terms of x and y.
(x-3)(y- 4)
(r 3) (y- 4)
121 =
Step 3
Solve your result from the previous step for y in terms of x.
121
+ 4
121
+4
r- 3
y =
3.
Simplify.
109 +4x
4.r +109
y =
x-3
I-3
Step 4
Transcribed Image Text:A rectangular page is designed to contain 121 square inches of print. The margins at the top and bottom of the page are each 2 Inches deep. The margins on each side are 1½ inches wide. What should the dimensions of the page be so that the least amount of paper is used? Step 1 Let x be the width of the page. Let y be the height of the page. Let A be the total area of the page. Write an equation for A in terms of x and y. A = Xy ry Step 2 Use the information in the problem to write the total print area in terms of x and y. (x-3)(y- 4) (r 3) (y- 4) 121 = Step 3 Solve your result from the previous step for y in terms of x. 121 + 4 121 +4 r- 3 y = 3. Simplify. 109 +4x 4.r +109 y = x-3 I-3 Step 4
Solve your result from the prevlous step for y in terms of x.
121
+ 4
121
+4
I- 3
y =
3.
Simplify.
109 +4x
y =
X-3
4.x + 109
I- 3
Step 4
Substitute your result from the previous step into your result from the first step to find an equation for A in
terms of x.
4x +109x
A =
4r+109
X-3
r-3
Step 5
Graph the area function. Use the graph to determine the dimensions of the page be so that the area is at a
minimum. (Round your answers to one decimal place.)
width
in
height
in
Suþmit
Skip (you cannot come back)
Transcribed Image Text:Solve your result from the prevlous step for y in terms of x. 121 + 4 121 +4 I- 3 y = 3. Simplify. 109 +4x y = X-3 4.x + 109 I- 3 Step 4 Substitute your result from the previous step into your result from the first step to find an equation for A in terms of x. 4x +109x A = 4r+109 X-3 r-3 Step 5 Graph the area function. Use the graph to determine the dimensions of the page be so that the area is at a minimum. (Round your answers to one decimal place.) width in height in Suþmit Skip (you cannot come back)
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