Irene reads that the 2004 census of whooping cranes tallied 213 birds which is 19 greater than 2003 the growth can be modeled using P (t) = P (0) e^kt what is k

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