Suppose that the world has only two countries. The following table gives data on their populations and GDP per capita. It also shows the growth rates of population and GDP. The growth rates of population and GDP per capita in each country never change.

a. What will the growth rate of world population be in the year 2000? Following 2000, will the growth rate of world population rise or fall? Explain why. Draw a graph showing the growth rate of world population starting in 2000 and continuing into the future. Toward what growth rate does world population move in the long run?

b. Draw a similar graph showing the growth rate of total world GDP.

c. Draw a similar graph showing the growth rate of average GDP per capita in the world.