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.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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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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