In Exercises the population (in millions) of a country in 2011 and the expected continuous annual rate of change of the population are given.

(a) Find the exponential growth model

P = Ce^kt

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 Egypt 2011 Population 82.1 k 0.020