A bacteria culture grows with constant relative growth rate. After 2 hours there are

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400 bacteria? A bacteria culture grows with constant relative growth rate. After 2 hours there are 400 bacteria and after 8 hours the count is 50,000.
(a) Find the initial population.
P(0) = bacteria

(b) Find an expression for the population after t hours.
P(t) =

(c) Find the number of cells after 7 hours.
P(7) = bacteria

(d) Find the rate of growth after 7 hours.
P'(7) = bacteria/hour

(e) When will the population reach 200,000?
t = hours
 
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