A bacteria culture is experiencing a growth pattern of 15% per hour in its population P; that is dP / dt = 015P; 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 .
(b) What will the population be at 5 pm?
(c) What is the doubling time of the population?
(a) 
(b) 13,499
(c) 6.9 hr
Mathematics
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