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A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep, and the margins on each side are 2 inches wide (see figure). $1 in. 2 in. 2 in. y $1 in. (a) Write a function for the total area A of the page in terms of x. (b) Determine the domain of the function based on the physical constraints of the problem. O x > 2 O x > 1 O 4 < x < 30 O 2 < x < 30 (c) Use a graphing utility to graph the area function and approximate the page size for which the least amount of paper is used. (Round your answers to two decimal places.) in in

A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep, and the margins on each side are 2 inches wide (see figure). $1 in. 2 in. 2 in. y $1 in. (a) Write a function for the total area A of the page in terms of x. (b) Determine the domain of the function based on the physical constraints of the problem. O x > 2 O x > 1 O 4 < x < 30 O 2 < x < 30 (c) Use a graphing utility to graph the area function and approximate the page size for which the least amount of paper is used. (Round your answers to two decimal places.) in in

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 81E: A page that is x inches wide and y inches high contains 30 square inches of print. The top and...
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A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep, and the margins on each side are 2 inches wide (see figure). $1 in. 2 in. 2 in. y $1 in. (a) Write a function for the total area A of the page in terms of x. (b) Determine the domain of the function based on the physical constraints of the problem. O x > 2 O x > 1 O 4 < x < 30 O 2 < x < 30 (c) Use a graphing utility to graph the area function and approximate the page size for which the least amount of paper is used. (Round your answers to two decimal places.) in in
Transcribed Image Text:A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep, and the margins on each side are 2 inches wide (see figure). $1 in. 2 in. 2 in. y $1 in. (a) Write a function for the total area A of the page in terms of x. (b) Determine the domain of the function based on the physical constraints of the problem. O x > 2 O x > 1 O 4 < x < 30 O 2 < x < 30 (c) Use a graphing utility to graph the area function and approximate the page size for which the least amount of paper is used. (Round your answers to two decimal places.) in in
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