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.

Question Completion

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.

h = 2.5 credit hours

Step-by-step explanation:

The tuition costs, C, for a local community college

C(h) = 250 + 200h

The tuition costs, S for the local state university

S(h) = 300 + 180h

For the two tuition costs to be equal

C(h)=S(h)

250 + 200h = 300 + 180h

Subtract 180h from both sides

250 + 200h − 180h= 300 + 180h − 180h

250 + 20h= 300

Subtract 250 from both sides

250 -250+ 20h= 300-250

20h = 50

Divide both sides by 20

h = 2.5 credit hours

Therefore, the tuition costs will be equal at 2.5 credit hours.

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step-by-step explanation: