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)?

Answer 1

B

Explanation:

Answer 2

Answer: The domain of P(h) is 0 ≤ h ≤ 60

Where h represents the number of hours.

Explanation:

Here, h represents the number of hours he got paid and P(h) represents the amount he paid.

He gets paid $20 per hour for the first 40 hours he works in a week.

That is, P(h) = 20 for 0 ≤ h ≤ 40

And, For any hours above that, he is paid overtime at $30 per hour, while, He is not permitted to work more than 60 hours in a week.

That is, P(h) = 30 for 40 < h ≤ 60

⇒ The all possible values of h in the function P(h) are,

0 ≤ h ≤ 40 and 40 < h ≤ 60 ⇒ 0 ≤ h ≤ 60,

Since, the domain is the set of all possible value of input,

Hence, the domain of P(h) = 0 ≤ h ≤ 60