Answer :

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

rate of growth of bacteria is proportional to the number present


So,


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,


…(i)


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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