In a culture, the bacteria count is 1,00,000. The number is increased by 10% in 2hours.In how many hours will the count reach 2,00,000 if the rate of growth of bacteria is proportional to the number present?
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the answer is 100% because it growth just double
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Answer:
14.54 Hrs
Step-by-step explanation:
the rate of growth of bacteria is proportional to the number present
=> increase is compounding
Present count = 100000
number increased by 10 % in 2 hrs
200000 = 100000 ( 1 + 10/100)^(T/2)
=> 2 = (1.1)^(T/2)
Taking log both sides
log2 = (T/2) Log(1.1)
=> 0.301 = (T/2)(0.04139)
=> T = 0.602/0.04139
=> T = 14.54 Hrs
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