A bacteria culture starts with 540 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1080 bacteria.
(a) Express the population P after t hours as a function of t.
P(t)=
5
(b) What will be the population after 8 hours?
bacteria
r
(c) How long will it take for the population to reach 1970? Give your answer accurate to at least 2 decimal
places.
hours
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