SOLUTION: A certain culture of the bacterium Rhodobacter sphaeroides initially has 10 bacteria and is observed to double every 4 hours. (a) Find an exponential model n(t) = n02t/a for t

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Question 968017: A certain culture of the bacterium Rhodobacter sphaeroides initially has 10 bacteria and is observed to double every 4 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

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n, or if preferred, n(t), amount at time t
N, initial amount for t at 0
Doubling every 4 hours:
n%28t%29=N%2A2%5Et