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
[tex]C(h) = 250 + 200h[/tex]
where h is the number of credit hours taken.
State college:
Tuition cost is represented by the equation
[tex]S(h) = 300 + 180h[/tex]
where h is the number of credit hours taken.
Equating the two equations, we get,
[tex]C(h) = S(h)\\250 + 200h = 300+180h\\\Rightarrow 20h = 50\\\Rightarrow h = 2.5[/tex]
Thus, a student have to take 2.5 credit hours so that the tuition costs are equal.
