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, . Will this area function be a linear function, or a quadratic?

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, . Will this area function be a linear function, or a quadratic?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 9CR: Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside...

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