Question

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.

Answer 1

Answer:

2.5

Step-by-step explanation:

Answer 2

Answer:

A student have to take 2.5 credit hours so that the tuition costs are equal.

Step-by-step explanation:

We are given the following in the question:

Community college:

Tuition cost is represented by the equation

$C(h) = 250 + 200h$

where h is the number of credit hours taken.

State college:

Tuition cost is represented by the equation

$S(h) = 300 + 180h$

where h is the number of credit hours taken.

Equating the two equations, we get,

$C(h) = S(h)\\250 + 200h = 300+180h\\\Rightarrow 20h = 50\\\Rightarrow h = 2.5$

Thus, a student have to take 2.5 credit hours so that the tuition costs are equal.