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erin512

  • 3 years ago

A local store owner pays her employees time-and-a-half for overtime. That means if an employee works more than 40 hours per week, the store will pay him 1.5 times his regular hourly wage of $6.50

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  1. erin512
    • 3 years ago
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    Write and graph a piecewise function that illustrates an employee's weekly pay, W, as a function of the number of hours, h, that employee works.

  2. erin512
    • 3 years ago
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    having some trouble with this, if somebody could explain how i could solve this i would really appreciate it!

  3. Hero
    • 3 years ago
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    f(x) = 6.50x, x <=40 f(x) = 260 + 9.75x, x > 40 Sorry, that's the best I can do.

  4. Hero
    • 3 years ago
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    That's not really it, but it's close

  5. erin512
    • 3 years ago
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    thanks, i got this does this seem to make sense or is this wrong? P = {0 h<0 6.5 h 0≤h≤40 260+9.75 40<h≤168}

  6. Hero
    • 3 years ago
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    But you still need a variable for the the third interval.

  7. Hero
    • 3 years ago
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    The problem is, you need a variable that will represent h > 40 because it won't be the same as 0 < h < 40

  8. Hero
    • 3 years ago
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    for h > 40, it is overtime so it starts back at 1 again.

  9. Hero
    • 3 years ago
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    For instance, if she works one hour overtime, it won't be 260 + 9.75(41) it will be 260 + 9.75(1) For two hours, it will be 260 + 9.75(2) so the variable cannot be h. It has to be "o" maybe for overtime hours. But we have to write a piecewise function in terms of the same variable, so good luck with that.

  10. Hero
    • 3 years ago
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    I figured it out.

  11. Hero
    • 3 years ago
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    For the 3rd interval, you have to find the equation of the line. So use points (40, 260) and (41, 269.75) to find the slope, then re-write the equation of the line in terms of h.

  12. erin512
    • 3 years ago
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    oh okay thank you soo much, what would the equation be in that case?

  13. erin512
    • 3 years ago
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    @Hero

  14. Hero
    • 3 years ago
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    wait

  15. Hero
    • 3 years ago
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    f(h) = 9.75h - 130

  16. Hero
    • 3 years ago
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    Tricky problem, but not impossible to figure out

  17. Hero
    • 3 years ago
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    so f(h) = 6.50h 0 < h < 40 f(h) = 9.75h - 130 h > 40

  18. erin512
    • 3 years ago
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    @Hero thank you so much, i understand much better now. do you know how i could graph that?

  19. erin512
    • 3 years ago
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    never mind i got it :)

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