Bacterial population growth differential equation

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mayeh
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a bacterial population B is known to have a rate of growth proportional to B itself. if between noon and 2 PM the population triples, at what time, no controls exerted should B become 100 times what it was at noon?


what does it mean by between noon and 2pm? does it mean that it takes 2hrs for the bacteria to triple? or the bacteria triples from 12 to the middle of 12 and 2?
 
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sorry, i don't get it...

could you please explain further.
 
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Population at 1400 hours (2 PM) = 3 times the population at noon.