Population growth models are given for countries based on th

Population growth models are given for countries based on the World Health Organization\'s 2006 World Health Statistics. In this model, the population is in millions t years after 2006.

Kazakhstan:

K(t) = 14.825e^0.007t

(a) Find the annual growth/decay rate of the population. (Round your answer to one decimal place.)
1 %

(b) Rewrite the model in the form

f(t) = ab^t.

(Round your change factor to three decimal places.)
f(t) =

(c) State whether the population is increasing or decreasing and explain how you know.

Solution

K(t) = 14.825e^0.007t

(a) Find the annual growth/decay rate of the population. (Round your answer to one decimal place.)
1 %
----K(t) = 14.825(e^-0.007)^t = 14.825(0.932)^t

Growth rate = 1- 0.932 = 0.068 = 6.8%
(b) Rewrite the model in the form

f(t) = ab^t.

(Round your change factor to three decimal places.)
f(t) = 14.825(0.932)^t

(c) State whether the population is increasing or decreasing and explain how you know.

Population is decreasing because in f(t) = ab^t. becasuse b <1