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A health club charges a one-time initiation fee of $130.00 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 member an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $290 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 health club charges a one-time initiation fee of $130.00 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 member an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $290 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.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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A health club charges a one-time initiation fee of $130.00 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 member an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $290 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. C(x) = (Do not factor.) b. Choose the correct graph below. O A. 800- 600- 400- 200-+ 0- 800- 600- 400- 200- Months 0+ 0 20 Months B. 20 800+ 600- 400- 200- 0- B. 800- 600- 400- 200- 0- Months 0 Months 20 c. The graph of the plan described in part (c) is shown with a dashed line. Choose the correct graph below. O A. O C. d. The second plan is less expensive after 20 O C. months. 800- 600- 400- 200- 0- 800- 600- 400- 200+ Months 0 20 Months ) D. 20 Cost(dollars) 800- 600- 400- 200- D. Months 800- 600- 400- 200- 20 Months 20 Q
Transcribed Image Text:A health club charges a one-time initiation fee of $130.00 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 member an option of a higher initiation fee but a lower monthly membership charge. If the initiation fee is $290 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. C(x) = (Do not factor.) b. Choose the correct graph below. O A. 800- 600- 400- 200-+ 0- 800- 600- 400- 200- Months 0+ 0 20 Months B. 20 800+ 600- 400- 200- 0- B. 800- 600- 400- 200- 0- Months 0 Months 20 c. The graph of the plan described in part (c) is shown with a dashed line. Choose the correct graph below. O A. O C. d. The second plan is less expensive after 20 O C. months. 800- 600- 400- 200- 0- 800- 600- 400- 200+ Months 0 20 Months ) D. 20 Cost(dollars) 800- 600- 400- 200- D. Months 800- 600- 400- 200- 20 Months 20 Q
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