Question

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.

Which set describes the domain of P(h)?

h
h
0 ≤ P(h) ≤ 1,400
P(h)

(this is as much as i can provide for the problem, its all that's shown)

Answer 1

The domain is the set of values that he may assume. It is given in the problem statement as h ≤ 60, so answer (B) is the selection of choice.

Hope this helps!

Answer 2

`0\leq h\leq 60`

Explanation:

According to the problem,
`h` refers to hours wored and
`P(h)` refers to the money earned.

Notice that Brenton has a limit of hours, he can't work more than 60 hours, which means

`h\leq 60`

Now, as function of time,
`h` can't be negative, that means this variable is defined by the interval

`0\leq h\leq 60`

Notice that
`h` is the independent variable, which means the interval we found represents the domain of the function.

Therefore, the answer is
`0\leq h\leq 60`