Filters at a water treatment plant become less effective over time. The rate at which pollution passes through the filters into a nearby lake is given in the following table.
(a) Estimate the total quantity of pollution entering the lake during the 30-day period.
(b) Your answer to part (a) is only an estimate. Give bounds (lower and upper estimates) between which the true quantity of pollution must lie. (Assume the rate of pollution is continually increasing.)

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Day Rate (kg/day) 06 12 18 24 24 30 7 8 10 13 18 35