Growth of bacteria diff. eq help

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    Bacteria Growth
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Homework Help Overview

The discussion revolves around a differential equation related to the growth of a bacterial population, specifically focusing on the implications of a population tripling between noon and 2 PM. Participants are exploring the meaning of the time frame and its impact on the growth model.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions the interpretation of the time frame regarding the tripling of the bacterial population, seeking clarity on whether it refers to the entire 2-hour period or a specific moment within that period.

Discussion Status

Some participants have attempted to clarify the relationship between the population at noon and at 2 PM, noting that the population at 2 PM is three times that at noon. However, there remains uncertainty among participants regarding the implications of this information and how it relates to the overall growth model.

Contextual Notes

There appears to be a lack of consensus on the interpretation of the time interval and its effect on the growth rate, which may influence the understanding of the problem's setup.

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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F(1400 hours) = 3 x F(noon).
 
sorry, i don't get it...

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

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