After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 20% per hour, that is, dN/dt = -0.20N, where N is the number of bacteria and t is the time, in hours.

(a) When t = 0 , there are 150,000 bacteria present. Find a function that satisfies this equation.

(b) How many bacteria will remain after 6 hr?


(a) N (t) =

(b) 45,179

(c) 3.5 hr

Mathematics

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