Population growth models are given for countries based on the World Health Organ
ID: 3426405 • Letter: P
Question
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) = 14.825e0.007t
(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) = abt.
(Round your change factor to three decimal places.)
f(t) =
(c) State whether the population is increasing or decreasing and explain how you know.
Explanation / Answer
K(t) = 14.825e0.007t
(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) = abt.
(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) = abt. becasuse b <1