Chapter 4.6, Problem 20PE

The populations of two countries are given for January 1, 2000, and for January 1, 2010.

a. Write a function of the form $P\left(t\right)=P_0{e}^{kt}$ to model each population $P\left(t\right)$ (in millions) t years after January 1, 2000.

Country	Population in 2000 (millions)	Population in 2010 (millions)	$P\left(t\right)=P_0{e}^{kt}$
Switzerland	7.3	7.8
Israel	6.7	7.7

b. Use the models from pan (a) to approximate the population on January 1, 2020, for each country. Round to the nearest hundred thousand.

c. Israel had fewer people than Switzerland in the year 2000, yet from the result of pan (b), Israel would have more people in the year 2020? Why?

d. Use the models from pan (a) to predict the year during which each population would reach 10 million if this trend continues.