SOLUTION: 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 th

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 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 th      Log On


   



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
Answer by nerdybill(7384) About Me  (Show Source):
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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