## You have a summer job that pays time and a half for overtime. That is, if you work more than 40 hours a week, your hourly wage for the extra

Question

You have a summer job that pays time and a half for overtime. That is, if you work more than 40 hours a week, your hourly wage for the extra hours is 1.5 times your normal hourly wage of $7.

a. Write a piecewise function that gives your weekly pay “P” in terms of the number “H” of hours you work.

b. How much will you get paid if you work 45 hours?

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2022-01-01T15:15:33+00:00
2022-01-01T15:15:33+00:00 1 Answer
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## Answers ( )

Answer:a) F (H) = 7H if H ≤ 40 hrs.F (H) = 7H + 10.5 (EH) if H > 40 hrs i.e extra time.b) P = 7 (40) + 10.5 (5) = 332.5$Step-by-step explanation:a) In order to find piecewise function of pay rate, we need to understand how it is changing with conditions given.

Here, we are being told that, if a person works 40 hours, his/her wage per hour would be 7$ and if he/she exceeds this 40 hours time, it will count as over time or extra time and for that extra amount of time, he/she will be paid 1.5 times greater than normal. which is equal to 10.5$ per extra hour.

So, let’s make the functions.

P = F (H) = 7H if H ≤ 40 hrs.P = F (H) = 7H + 10.5 (EH) if H > 40 hrs i.e EH = extra hours.b) for 45 hours it means there is 5 hours of Extra hours and 40 hours of normal time. Just plug in values in function number two for the condition if H > 40 hrs.P = F (H) = 7H + 10.5 (EH)P = 7 (40) + 10.5 (5)P = 332.5$Hope, this may help!