AP Calc BC: How to Solve a Logistic Growth Application Problem

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A 2000 − gallon tank can support no more than 150 guppies. Six guppies are introduced into the tank.
Assume that the rate of growth of the population is , where time , is in weeks.

dP
dt = 0. 0015P(150 − P) t

a) Find a formula for the guppy population in terms of t.
b) How long will it take for the guppy population to be 100? 125?

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I thought that the denominator was 1+Ae^-kt not ^-mkt if you have a chance can you explain this thank you so much this video otherwise has been extremely clarifying

michaelmalgioglio
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I'm not a math person.

That being said, I have a question.

If the world was able, in the beginning, to support 1 trillion people.

People could live an average of 500 years.

Women are able to give birth once a year for 300 years.

How long before the end?

jacob.tudragens