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11. A health club charges a one-time initiation fee of $100.00 plus a membership fee of $40.00 per month. a. Write an expression for the cost function C(x) that gives the total cost for membership at the health club for x months. b. Draw the graph of the function in (a). c. The health club decided to give its members an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $300 and the monthly membership fee is $30, use a different color and draw on the same set of axes the cost graph under this plan. d. Determine after how many months the second plan is less expensive for the member.

11. A health club charges a one-time initiation fee of $100.00 plus a membership fee of $40.00 per month. a. Write an expression for the cost function C(x) that gives the total cost for membership at the health club for x months. b. Draw the graph of the function in (a). c. The health club decided to give its members an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $300 and the monthly membership fee is $30, use a different color and draw on the same set of axes the cost graph under this plan. d. Determine after how many months the second plan is less expensive for the member.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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11. A health club charges a one-time initiation fee of $100.00 plus a membership fee of $40.00 per month. a. Write an expression for the cost function C(x) that gives the total cost for membership at the health club for x months. b. Draw the graph of the function in (a). c. The health club decided to give its members an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $300 and the monthly membership fee is $30, use a different color and draw on the same set of axes the cost graph under this plan. d. Determine after how many months the second plan is less expensive for the member.
Transcribed Image Text:11. A health club charges a one-time initiation fee of $100.00 plus a membership fee of $40.00 per month. a. Write an expression for the cost function C(x) that gives the total cost for membership at the health club for x months. b. Draw the graph of the function in (a). c. The health club decided to give its members an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $300 and the monthly membership fee is $30, use a different color and draw on the same set of axes the cost graph under this plan. d. Determine after how many months the second plan is less expensive for the member.
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