A bacteria culture initially contains 400 cells and grows at a rate proportional to its size. After 2 hours the population has increased to 440 . (a) Find an expression for the number of bacteria after
t
hours.
P(t)=
(b) Find the number of bacteria after 9 hours. (c) Find the rate of growth after 9 hours (d) When will the population reach 4000 ?

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A bacteria culture initially contains 400 cells and grows at a rate proportional to its size. After 2 hours the population has increased to 440 . (a) Find an expression for the number of bacteria after

t

hours.

P(t)=

(b) Find the number of bacteria after 9 hours. (c) Find the rate of growth after 9 hours (d) When will the population reach 4000 ?

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