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## Homework Statement

Vancouver Island has an area of 33000km^2 but no wombats. If we release a pair of wombats on Vancouver Island and their annual rate of increase is 50%, how many years will it be before the wombat population reaches one pair per km^2?

## Homework Equations

[A]t=[A]oe^-kt t1/2=ln2/k

## The Attempt at a Solution

This is in a rate of reaction tutorial package and the only equation I could think to use is the half life one, but have it going up by 1/2 instead of going down by 1/2. I'm not sure how to manipulate the equation though. The answer is 26 years, I'm just not sure how to do that. I'm not sure what to put in for k either. I've tried using 0.5 but that doesn't work. Any suggestions?