The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.

How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour.

250 + 200h = 300 + 180h
250 + 200h = 300 + 180h
− 180h − 180h
250 + 20h = 300
h =
credit hours