Question 391267
Use the exponential growth function P(t) = P0^e^kt where P0 is the initial population and P(t) is the population at time t, to determine the growth factor K of caribou in Canada that grew from 4700 in 1954 to about 472,000 in 1984
.
Given:
P(t) = P0^e^kt
Po is 4700
P(t) is 472000
t = 1984-1954=30
.

47200 = 4700e^(30k)


47200/4700 = e^(30k)

ln(47200/4700) = 30k

ln(47200/4700)/30 = k

ln(472/47)/30 = k

0.07689 = k