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the nmber of bacteria p(t) in a petri dish at time t minutes is modelled by p(t)1000(ln3)^t find the rate of growth of population of bacteria where there are 10000 bacteria in a dish

 Dec 27, 2022
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P(t) = 1,000 x (ln(3)^t). You already have "rate of growth, which is ln(3) =1.0986123 - 1 x 100=9.86123% p/m

 

I think what you want is: " How long does it take 1,000 bacteria to become 10,000?" if that is right, then:

 

10,000 = 1,000 x  (ln3)^t, solve for t

 

10,000 / 1,000 = (ln3)^t

 

10 = (ln3)^t

 

t =ln(10) / ln (ln3)

 

t=24.483 - minutes for 1,000 bacteria to grow to 10,000

 Dec 27, 2022

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