Chapter 6.2, Problem 51E

Population In Exercises 51-54, the population (in millions) of a country in 2015 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

$P=C{e}^{kt}$

for the population by letting $t=5$ correspond to 2015.

(b)Use the model to predict the population of the country in 2030.

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

Country	2015 Population	k
Latvia	2.0	-0.011