SOLUTION: Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1300 fish. Abs

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1300 fish. Abs      Log On


   

Question 1203016: Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1300 fish. Absent constraints, the population would grow by 200% per year.
If the starting population is given by P0 = 400, then after one breeding season the population of the pond is given by
P1 =
After two breeding seasons the population of the pond is given by
P2=
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The logistic growth formula:

+Pn=Po%2Br%281-Po%2Fk%29%2APo

Where,

+r - rate of population increase =++2.0+
+k- carrying capacity of the pond = +1300+
+Po- initial population =++400
Put the values in the formula,
+Pn=400%2B2.0%281-400%2F1300%29%2A400
+Pn=953


In second generation,
+Po+=+953

So,

+Pn=953%2B2.0%281-953%2F1300%29%2A953
+Pn=1461
Therefore, the population of fishes in the first generation will be 953 and in the second generation the population will be 1461.


Answer by ikleyn(52901) About Me  (Show Source):
You can put this solution on YOUR website!
.

The solution and calculations by     @MathLover1 in her post are incorrect.

The input data,     which she uses in her calculations,     are incorrect,     too.


        God forbid you following her calculations.


What is placed in her post,     is copy-pasted from this web-page

https://brainly.com/question/16984665

without the reference to the source (which in simple terms means "stolen").


What is written in that web-page,  is  WRONG,  too.


It is how this women typically/permanently works at this forum:  she copy-paste from other sources
without referencing,  without knowing a subject and without understanding what she is doing.


Simply saying,  she does not know  Math,  but wants very much to teach others.