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Math Help - Estimating with Finite Sums

  1. #1
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    Post Estimating with Finite Sums

    Water Pollution: Oil is leaking out of a tanker damaged at sea. The damage to the tanker is worsening as evidenced by the increased leakage each hour, recorded in the table below,

    Time(h): 0 1 2 3 4
    Leakage(gal/h): 50 70 97 136 190

    Time(h): 5 6 7 8
    Leakage(gal/h): 265 369 516 720

    (a)Give an upper & lower estimate of the total quantity of oil that has escaped after 5 hours.

    (b)Repeat (a) for the quantity of oil that has escaped after 8 hours.

    (c)The tanker continues to leak 720 gal/h after the first 8 hours. If the tanker originally contained 25,000 gal of oil, approxiamately how many more hours will elapse in the worst case before all of the oil has leaked? in the best case?
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  2. #2
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    lower estimate for the first 5 hours ...

    (50+70+97+136+190) gals

    upper estimate for the first 5 hours ...

    (70+97+136+190+265) gals

    now, you do (b) and (c)
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  3. #3
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    Question How to start on (c)

    I know how to do (b) because of (a), however, how do you begin (c)?
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  4. #4
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    worst case ...

    70+97+136+190+265+369+516+720+720h = 25000

    solve or h

    you do the best case.
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