Answer:
k = 0.09343
Step-by-step explanation:
Given:
- The growth model is as follows:
P ( t ) = P_o*e^(k*t)
Where,
P(t) : The population at time t
P_o : initial population
k: Growth factor
- P @ 2004 = 213 birds
- P @ 2003 = 213 - 19 = 194 birds
Find:
what is k ?
Solution:
- Evaluate P_o =194 and evaluate @ 2004 as follows:
P(t) = P_o*e^(k*t)
213 = 194*e^(k)
Taking natural logs:
k = Ln | 213 / 194 |
k = 0.09343
