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anonymous

  • 4 years ago

Your company needs to temporarily hire a programmer to work on a project. Two proposed payment schemes for this work are as follows: • (1) A flat fee of $1,000, plus $20 per hour or (2) $25 per hour. o For each of the two plans, show an expression that can be used to compute the amount of pay for that plan. The variable should be the number of hours worked. o Set up and solve an inequality that would enable your company to determine possible job lengths (in hours) for which the person is paid less according to plan 1 than for plan 2.

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  1. Hero
    • 4 years ago
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    y = 1000 + 20x y = 25x That's the first part.

  2. Hero
    • 4 years ago
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    25x < y < 1000 + 20x That might be a formula for plan two

  3. anonymous
    • 4 years ago
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    ok thank you!

  4. Hero
    • 4 years ago
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    Actually, I think you have to solve each for x and then write the inequality.

  5. anonymous
    • 4 years ago
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    i think you are correct

  6. Hero
    • 4 years ago
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    But we can actually do it ourselves and find the exact number of hours it would take. Let's first write each in terms of x...

  7. anonymous
    • 4 years ago
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    i came up with plan one will give him 1800 but im still working on plan 2

  8. anonymous
    • 4 years ago
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    ok and i see he only gets 1000 from plan 2

  9. Hero
    • 4 years ago
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    x = (y - 1000)/20 x = y/25 y/25 < x < (y - 1000)/20 x = x 25(y - 1000) = 20(y) 25y - 25000 = 20y 5y = 25000 y = 25000/5 y = 5000

  10. anonymous
    • 4 years ago
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    ahh but without that 1k bonus plan 1 will get him less money in th elong run

  11. anonymous
    • 4 years ago
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    oh! lol i didnt calculate by the year lol i only did it for the first paycheck

  12. Hero
    • 4 years ago
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    x = 4000/20 x = 200

  13. Hero
    • 4 years ago
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    So 200 hours is the point at which everything switches as far as the plans go. If you go over 200 hours, then the plans will likely switch.

  14. anonymous
    • 4 years ago
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    ahh i see! thanks hero! it makes sense now

  15. Hero
    • 4 years ago
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    Since he's only temporary, he might pick the first plan. He might not get to 200 hours.

  16. Hero
    • 4 years ago
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    It will take him 25 days to get to 200 hours.

  17. Hero
    • 4 years ago
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    So, if he plans to work there for over a month, he should pick plan 2. For less than a month, stick with the first plan.

  18. Hero
    • 4 years ago
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    There's your complete solution.

  19. Hero
    • 4 years ago
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    You should keep these steps in mind. You may have to make the same decisions one day.

  20. anonymous
    • 4 years ago
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    thanks!!!

  21. anonymous
    • 4 years ago
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    lmao i know right XD no bonuses for me lol

  22. Hero
    • 4 years ago
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    keep your hopes up

  23. Hero
    • 4 years ago
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    Romie, are you still around?

  24. Hero
    • 4 years ago
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    http://vyew.com/room#/157292/Open_Study

  25. Hero
    • 4 years ago
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    Definitely good questions

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