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

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) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
I need help with this question A midwestern city finds its resident moving to the... (answered by Fombitz)

when interest is compounded continouously, the balance in an account after t years is... (answered by Theo)

The population of the United States has been changing at an exponential rate since the... (answered by stanbon)

Select an amount of money that you would like to invest (for example $1000.00). This will (answered by josgarithmetic)

use the exponential growth function, P(t)=Poe^kt, to find the value of k, then write the... (answered by jsmallt9)

How long will it take for the population of a certain country to double if its annual... (answered by Fombitz)

The population of a town in the year 2000 was 250million and the population growth rate... (answered by KMST)

You've received a tip that Mastermind plans to poison the Starling City's water supply... (answered by josgarithmetic)

use the formula N=Ie^kt where n is the number of organisms in terms of initial population (answered by Cromlix)