The Exponential Function

Just suppose that we are all bacterias living in a bottle, and that our population doubles every minute. And that starting with an empty bottle at 11:00, the bottle fills up at 12:00.

When do you think that the average bacteria guy realizes that they're running out of space? At 11:59 the bottle is half empty after all ... but just one minute later there is no more space... still everything went fine for 59 minutes...

Let's also suppose that at 11:59 we start a search for new bottles, and we find 3 other bottles. That's amazing! Now we have 4 times the initial space to grow! Well, the second bottle will be filled up at 12:01, and at 12:02 the history of our species is over.

Now, if someone tells you that your need for new resources grows at a fixed rate of 7% per year, you know what that means? That it doubles in 10 years - you calculate that with 70/(growth rate.)

And now imagine that 10 years is one minute of those bacteria...

Author: Asterisk, for AZ10.com ~ 16 Oct 2009

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