Question

There are currently 3000 moose in the state of Colorado. Their population is increasing at a rate of 2% per year. How many years will it be before there are 6000 moose in the state of Colorado. Round your answer to the nearest year.

Answer 1

35 years from now.

Explanation:

The quantity of moose as a function of time is as follows:

`M(t) = 3000(1.02)^(t).`

Thus, for
`M < 6000:`

`3000(1.02)^(t) < 6000\\\\1.02^(t) < 2\\\\t < (log\,2)/(log\,1.02)\\\\ t < 35.003\,\,years.`