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.

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation: