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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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