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Answer :
The population of bacteria in the culture after 13 hours is approximately 174,319 bacteria.
What is initial population?
Initial population refers to the starting number of individuals or organisms in a given population at a particular point in time, before any changes or growth occur.
According to question:
In this scenario, the initial population P0 = 13000, the doubling time d = 3, and the time elapsed t = 13. Using the formula Pt = P0 • 2^(t/d), we can calculate the population after 13 hours as follows:
Pt = P0 • 2^(t/d)
Pt = 13000 • 2^(13/3)
Pt ≈ 174,318.68
When this is rounded to the closest whole number, we obtain:
Pt ≈ 174,319
Therefore, the population of bacteria in the culture after 13 hours is approximately 174,319 bacteria.
For example, in a population ecology study of a particular species, the initial population size could be used as a baseline to measure population growth or decline due to factors such as environmental changes or human impact.
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