Question

A third beetle population starts with 400 beetles and has an rmax value of 0.05. How many generations will it take that population to exceed 440 beetles? ( )

Answer 1

This is what I found online for you!! Not my words. :))

5% in decimal form is 0.05.

After one week we have: N=4001.05 beetles

After two weeks we have: N=(4001.05)*1.05 beetles

After three weeks we have: N=((400*1.05)*1.05)*1.05 beetles

We can write this as: Week 1: N = 400* 1.051

Week 2: N = 400* 1.052

Week 3: N = 400*1.053

From this we can make conclusion that formula for number of beetles after w weeks is given by:
N = 400 *1.05w