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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Abigail 3 weeks 2022-01-01T15:15:33+00:00 1 Answer 0 views 0

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    2022-01-01T15:17:04+00:00

    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!

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45:7+7-4:2-5:5*4+35:2 =? ( )