Question

Scalcet8 3. 8. 505. xp. a bacteria culture grows with a constant relative growth rate. after 2 hours there are 400 bacteria and after 8 hours the count is 50,000.
Find the initial population?

Answer 1

The initial population was 80

Solution ;

The bacteria culture has a constant growth rate.

So, N(t) = No*(1 + r)^t

Solution :

400 = No*(1 + r)^2

50000 = No*(1 + r)^8

(1 + r)^6 = 125

=> 1 + r = 2.2360

No = 400÷(1 + r)^2 = 80

Hence, now we can conclude that the initial number of the bacterial culture was 80.

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