Victor's tennis club membership costs him 200 dollars per year and he has to pay an additional 3 dollars per hour on court rental fees. The town courts costs a flat fee or 6 dollars per hour to rent.
a. Write an equation that expresses victors total cost, cl, of playing h hours of tennis in a given year at his tennis club.
b. Write an equation that expresses victors total cost, t, of playing h hours of tennis in a given year at town courts.
c. For how many hours of tennis should victor play so it is worth to keep his membership at his tennis club?
d. Draw a graph of victors average cost of playing tennis per hour.
I know a few
a. t = 200 + 3h
b . Since we don't know the flat fee, the total cost is t = 6h
c. We can solve this
200 + 3h < 6h
200 < 3h
h > 200 / 3 = about 67 hours
d. Average cost per hour (at the tennis club) = (200 + 3h) / h
Here's the graph (I've substituted x for h, but it's the same graph )