Question

How many credit hours a student have to take for the two tuition cost to be equal round the answer to the nearest 10th of an hour 250+200 H equals 300+180 250+200 H equals 300+180-180-180 H 250+20 = 300 H equals credit hours

Answer 1

Total credit hours a student have = 2.5 hours.

Explanation:

P.S - The exact question is -

Given - 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.

To find - How many credit hours will a student have to take for the two tuition costs to be equal.

Proof -

If the two tuition cost are equal, then

C(h) = S(h)

⇒250 + 200h = 300 + 180h

⇒200h - 180h = 300 - 250

⇒20h = 50

⇒2h = 5

⇒h =
`(5)/(2)`

⇒h = 2.5

∴ we get

Total credit hours a student have = 2.5 hours.