SOLUTION: You can park in a a lot for 15$ an hour for at most 4 hours. A partial hour rounds to the nearest whole hour. find the function, domain and range. I thought the function was y=15

Question 1169186: You can park in a a lot for 15$ an hour for at most 4 hours. A partial hour rounds to the nearest whole hour. find the function, domain and range.
I thought the function was y=15x and the domain was all real numbers.
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your equation is y = 15 * x for x <= 4.
you domain is 0 <= x <= 4
your range is 0 <= 15*4 = 60

the function is y = 15, but the domain (the possible values of x, is from 0 to 4.
the range is the possible values of y for all possible values of x, which is from 0 to 60.

here's a graph.

y can't be less than 0 because x can't be less than 0.

y can't be greater than 60 because x can't be greater than 4.

Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.
You can park in a a lot for 15$ an hour for at most 4 hours. A partial hour rounds to the nearest whole hour.
find the function, domain and range.
I thought the function was y=15x and the domain was all real numbers.
~~~~~~~~~~~~~~

This post has a problem.

From the formal point of view, the cost function is not defined completely/properly in the post.

Namely, for EACH of the values of t= 0.5 hours, 1.5 hours, 2.5 hours and 3.5 hours, there are
TWO closest integers, and the post does not define properly/accurately, which one of the two closest integer values to select.

So, there is a HUGE HOLE in the problem formulation, which remove the posted text from the class of correctly posed Math problems.

If you will edit and re-post your problem, I will show you the correct solution.

Notice that the answer by tutor @Theo is not correct, unfortunately.

The cost function in this problem is DIFFERENT from that shown in his post.

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