(a) Use the data in Table 2.3 to compute the rates of growth of real GDP per capita that would be needed for Burundi, Ethiopia, and Russia (countries mentioned in the introduction to section 10.1) to catch up to the 2008 level of GDP per capita in the United States in 100 years. In 200 years.

(b) Find the current rates of growth of GDP per capita for each of these countries. If these actual levels could be sustained, how long will it take these countries to reach the level of the United States in 2008? (It could be helpful to review logarithms before answering this question – see the Guide, section G.11.)