Problem

A health club charges an initiation fee of $200, which gives 1 month of free membership, a...

A health club charges an initiation fee of $200, which gives 1 month of free membership, and then charges $55 per month.

a. If C(x) is the total cost of membership in the club for x months, express C(x) in terms of x.

b. Graph C(x) for the first 12 months.

c. Use the graph in (b) to find when the total cost of membership in the club will exceed $600.

d. When will te total cost of membership exceed $6000?

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