This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter sphaeroides initially has 15 bacteria and is observed to double every 6 hours. (a) Find an exponential model n(t) = n02t/a for the number of bacteria in the culture after t hours. n(t) =     (b) Estimate the number of bacteria after 17 hours. (Round your answer to the nearest whole number.) bacteria (c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.) t = hr

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This exercise uses the population growth model.

A certain culture of the bacterium Rhodobacter sphaeroides initially has 15 bacteria and is observed to double every 6 hours.

(a) Find an exponential model
n(t) = n02t/a
for the number of bacteria in the culture after t hours.
n(t) =
 
 


(b) Estimate the number of bacteria after 17 hours. (Round your answer to the nearest whole number.)
bacteria

(c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.)
t = hr
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