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

Answer:

35 years from now.

Step-by-step explanation:

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

$M(t) = 3000(1.02)^{t}.$

Thus, for $M < 6000:$

$3000(1.02)^{t} < 6000\\\\1.02^{t} < 2\\\\t < \frac{log\,2}{log\,1.02}\\\\ t < 35.003\,\,years.$