Paul Andersen explains how populations eventually reach a carrying capacity in logistic growth. He begins with a brief discussion of population size ( N ), growth rate ( r ) and exponential growth. He then explains how density dependent limiting factors eventually decrease the growth rate until a population reaches a carrying capacity ( K ). A mathematical simulation of this process is included along with a brief discussion of r and K selected species.

Intro Music Atribution
Title: I4dsong_loop_main.wav
Artist: CosmicD
Link to sound: http://www.freesound.org/peopl....e/CosmicD/sounds/725
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All images are either Public Domain or Creative Commons Attribution Licenses:
"File:Frog in Frogspawn.jpg." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Frog_in_frogspaw
"File:Stress-coloured Brookesia Desperata Female with Two Recently Laid Eggs.png." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Stress-coloured_
Nevit. English: White Rabbit, 2011. Own work. https://commons.wikimedia.org/....wiki/File:Rabbit_nev

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This video discusses how all exponential growth eventually tapers off, through one mechanism or another.

Website: https://www.eigensteve.com/

Paul Andersen explains how populations experience exponential. He begins by address the major players; N (population size) and r (growth rate). He models population growth in rabbits through four generations. He then shows you how to use a spreadsheet and then algebra to predict future populations.


Intro Music Atribution
Title: I4dsong_loop_main.wav
Artist: CosmicD
Link to sound: http://www.freesound.org/peopl....e/CosmicD/sounds/725
Creative Commons Atribution License

All images are either Public Domain or Creative Commons Attribution Licenses:
Nevit. English: White Rabbit, 2011. Own work. https://commons.wikimedia.org/....wiki/File:Rabbit_nev

This algebra and precalculus video tutorial explains how to solve exponential growth and decay word problems. It provides the formulas and equations / functions that you need to solve it. This video contains plenty of examples and practice problems.

My Website: https://www.video-tutor.net
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Here is a list of example problems.
1. Population Growth of Rabbits on an island
2. Depreciation of car value
3. Appreciation of Home value
4. Exponential Growth Bacteria Problem - Finding how much will there if the bacteria doubles or triples every 20 minutes