Question

Researchers found that there are 164 raccoons on an island when they return a year later they find that there are 366 what is the growth factor for the raccoon population

Answer 1

Growth Factor = 2.2317 (rounded to 4 decimal places)

Explanation:

The formula we will use is the growth formula, that is:

`F=P(1+r)^t`

Where

F is the future population (366)

P is present population (164)

r is the growth rate (we need to find this)

"(1+r)" is the growth factor

t is time in years (t=1 given)

Now, substituting, we find:

`F=P(1+r)^t\\366=164(1+r)^1\\(366)/(164)=1+r\\2.2317=1+r`

We haven't boiled down to r = something because we don't want growth rate (r), rather, we want growth factor (which is 1+r). So

Growth Factor = 2.2317