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Coolmath Algebra
Exponentials & Logarithms Lesson 6 - Populations Exponential Growth  (page 1 of 1)
---- This algebra lesson explains how to do exponential growth with populations

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It's probably occurred to you by now that no banks ever have accounts that compound continuously.

They're too smart for that!  OK, so money really never grows continuously...  But, animal populations do!  That goes for people, animals and bacteria.  (Yes, there is some overlapping there.)

So, here's the formula for population growth (I'm just going to change the letters a little):

The P (sub o)  is pronounced "P not."
The little "o" is a zero for time =
0... when you start.

* time is usually in hours or years
 

Let's just do one -- they're really easy!

In 1950, the world's population was 2,555,982,611.  With a growth rate of approximately 1.68%, what was the population in 1955?

First, let's figure out what everything is:

 


 


Let's ignore the decimal part since it's not a full person.

So, our guess is that the world's population in 1955 was 2,779,960,539.

(The actual population was 2,780,296,616 so we were pretty close.)

We'll be doing more with populations after I've taught you some more stuff.


YOUR TURN:

At 5pm, you count 26,300 alien bacteria in your petrie dish.  If the growth rate is 2.7%, how many bacteria will there be at midnight?


 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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