ediculeN
2021-01-19
Answered

The population of a culture of bacteria is modeled by the logistic equation
$P(t)=\frac{14,250}{1+29e\u20130.62t}$
To the nearest tenth, how many days will it take the culture to reach 75% of it’s carrying capacity?
What is the carrying capacity?
What are the virtues of logistic model?

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hesgidiauE

Answered 2021-01-20
Author has **106** answers

Step1

This is the carrying capacity of the bacten`al culture.

To determine the time it take to reach 75% of thr carlying capacity, we write

Step 2

Step 3 The growth of any population is curtailed by the amount of resources available. This is better modeled by a logistic S curve rather than an exponential growth model which only works in ideal situations and not for modeling real life situations.

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What do I do next? What is x?

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