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?