Population In Exercises 5154, the population (in millions) of a country in 2011 and the

Chapter 6, Problem 51

(choose chapter or problem)

In Exercises 51-54, the population (in millions) of a country in 2011 and the expected continuous annual rate of change k of the population are given. (Source: U.S. Census Bureau, International Data Base)

(a) Find the exponential growth model

\(P=C e^{k t}\)

for the population by letting t = 0 correspond to 2010.

(b) Use the model to predict the population of the country in 2020.

(c) Discuss the relationship between the sign of k and the change in population for the country.

Country                                       2011 Population                           k

Latvia                                           2.2                                            -0.006

Text Transcription:

P=C e^k t