The population of a culture of bacteria is modeled by the logistic equation P (t) = frac{14,250}{1 + 29e – 0.62t} 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?

ediculeN

ediculeN

Answered question

2021-01-19

The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t 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?

Answer & Explanation

hesgidiauE

hesgidiauE

Skilled2021-01-20Added 106 answers

 P(t)=14,2501+29e(062t)
Ast,e062t0
P(t)14,250.

 P(t)=34(14,250).

14,2501+29e(062t)=34(14,250)
1+29e062t=34
e(062t)=187
t=1062In(87)=72

The amount of resources available limits the expansion of any population. An exponential growth model, which only functions in ideal circumstances and is ineffective for simulating real-world scenarios, is preferable to a logistic S curve for simulating this.

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