Question

brentons 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 $p(h)$?
$\bigcirc$ ${h|0 leq h leq 40}$
$\bigcirc$ ${h|0 leq h leq 60}$
$\bigcirc$ ${p(h)|0 leq p(h) leq 1,400}$
$\bigcirc$ ${p(h)|0 leq p(h) leq 1,800}$

Explanation:

Step1: Define domain of a function

The domain of a function \(P(h)\) is the set of all valid input values (here, \(h\), the number of hours worked).

Step2: Identify valid hour range

Brenton can work 0 to 60 hours (cannot work negative hours, max 60 hours).

Answer:

\(\{h|0 \leq h \leq 60\}\)