SOLUTION: A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write an equation to find how m

Algebra ->  Equations -> SOLUTION: A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write an equation to find how m      Log On


   



Question 1142630: A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write an equation to find how many hours, h, you must use the tennis courts to justify becoming a member.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
In a given year, there are two cost options. For nonmembers and members, respectively, the costs are:

+C%5B1%5D+=+10h+
+C%5B2%5D+=+4h%2B300+


The breakeven point is where these are equal:
10h = 4h+300
6h = 300
h = 50 hours

If a person is going to play more than 50 hours of tennis in a year, it is less expensive if they become a member. (See green line in graph below)


+graph%28400%2C400%2C-100%2C300%2C+-100%2C+900%2C+10x%2C+4x%2B300%29+