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

If you read the question you can find some missing information. By googling it , i found the complete question here:

https://e-eduanswers.com/mathematics/question4074483

The set that describes the domain P(h) is {h| 0 ≤ h ≤ 60}.

Step-by-step explanation:

The given function is P(h) where h is the hours that Brenton works weekly.

If he works for 40 hours in a week he will get paid $20 per hour and he will get paid $30 per hour after 40 hours.

But not exceeded more than 60 hours per week.

⇒ P(h)= 20×h for 0 ≤ h ≤ 40 and

P(h) =30×(h-40) for 40 < h ≤ 60.

So the complete time he can work weekly is less than or equal to 60 hours.

Since domain is the set of all values in the function, so it can be written as {h| 0 ≤ h ≤ 60}.