Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Carol has dug a 15 by 20 foot hole for an inground pool. She wants to put a concrete patio all
the way around the pool to finish it off, and has purchased enough concrete for 246 square feet of
patio. Carol would like to use all of the concrete she has purchased.
1. Sketch the pool and the potential patio, where the width of the patio will be labeled x.
2. Including a patio of width x, what is the total length of the pool? Write an expression in
terms of x.
3. Including a patio width x, what is the total width of the pool? Write an expression in terms
of x.
4. Using the information above, write a function f(x) that gives you the total area of the pool
in terms of the width of the border, x. Will this area function be a linear function, or a
quadratic?
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Transcribed Image Text:Carol has dug a 15 by 20 foot hole for an inground pool. She wants to put a concrete patio all the way around the pool to finish it off, and has purchased enough concrete for 246 square feet of patio. Carol would like to use all of the concrete she has purchased. 1. Sketch the pool and the potential patio, where the width of the patio will be labeled x. 2. Including a patio of width x, what is the total length of the pool? Write an expression in terms of x. 3. Including a patio width x, what is the total width of the pool? Write an expression in terms of x. 4. Using the information above, write a function f(x) that gives you the total area of the pool in terms of the width of the border, x. Will this area function be a linear function, or a quadratic?
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