Question

A population of chipmunks moves into a new region at time t = 0. At time t (in months), the population numbers P(t) = 100(1 + 0.3t + 0.04t 2 ) • How long does it take for the population to double its initial size P(0)? • What is the rate of growth of the population when P = 200?

Answer 1

- How long does it take for the population to double its initial size P(0)
---> set P = 2*P(0) and solve for t. P(0) cancels out this way.

What is the rate of growth of the population when P = 200?
the initial population is P = 100 (you can confirm this yourself by plugging in t = 0). so it's the same conditions as the previous step. therefore, t = whatever you got from the previous step.
from there, take the derivative, plug in P = 200 and the appropriate t-value