This is real now! i need
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)?
a.{h| 0 ≤ h ≤ 40}
b.{h| 0 ≤ h ≤ 60}
c.{p(h)| 0 ≤ p(h) ≤ 1,400}
d.{p(h)| 0 ≤ p(h) ≤ 1,800}

B. {h| 0 ≤ h ≤ 60}

Step-by-step 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

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step-by-step explanation:

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