bacteria culture is experiencing a growth pattern of 15% per hour in its population P; that is dP / dt = 0.15P, where P is the population of the culture and t is the time, in hours, from noon.

(a) Given that the town’s population at noon was 8000, find the solution of the equation assuming P0 = 8000 and k = 0.15 . 32.
(b) What will the population be at 5 pm?


(a) P(t ) =

(b) 16,936

(c) 4.6 hr

Mathematics

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