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

Total credit hours a student have = 2.5 hours.

Step-by-step 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 =

⇒h = 2.5

∴ we get

Total credit hours a student have = 2.5 hours.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is