Answer :

Let y be the bacteria count, then, we have,

rate of growth of bacteria is proportional to the number present


Where c is a constant,

Then, solving the equation we have,

Where k is constant of integration

And we have for t = 0, y = 10000,


For t = 2hrs, y is increased by 10% i. e. y = 110000

from (i)

When y = 200000, we have,

Hence, t =

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