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

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) (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:

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)

RELATED QUESTIONS
A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a... (answered by Theo)

A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a... (answered by Fombitz)

A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a... (answered by rfer)

Can someone help me with this word problem? A local gym charges nonmembers $10 per hour (answered by Theo)

A local gym charges nonmembers $8 per day to use the volleyball courts. Members pay a... (answered by edjones)

a local gym charges nonmembers 15 per hour to play basketball members pay a yearly fee... (answered by macston)

a boxing club charges nonmembers $4 per to workout and $10 per day for equipment rental.... (answered by ankor@dixie-net.com)

a boxing club charges nonmembers $4 per day to workout and $10 per day for equipment... (answered by checkley77)

a rock climbing gym charges nonmembers $16 per day to use the gym and $8 per day for... (answered by jojo14344)