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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