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| 0 ≤ h ≤ 40}
{h| 0 ≤ h ≤ 60}
{P(h)| 0 ≤ P(h) ≤ 1,400}
{P(h)| 0 ≤ P(h) ≤ 1,800}

Answer 1

{h | 0 ≤ h ≤ 60}

He can work no fewer than 0 hours and no more than 60 hours, so the domain of h is 0 through 60.