HW1_Solutions - CE 11 1. Assignment #1 SOLUTIONS Page 1...

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CE 11 Assignment #1 SOLUTIONS Page 1 January 24, 2009 1. According to the World Resources Institute (WRI) report, “World Resources 2000-2001” (www.wri.org/wr2000), the global population was about 6 billion people in the year 2000, with 1.3 billion people living in industrialized countries and 4.7 people living in developing countries. The average annual rate of population increase from 1995 to 2000 was 1.3%. The growth rate was dramatically different in industrialized and developing countries, however, which had growth rates of 0.3 and 1.6%, respectively. a. If the industrialized and developing countries continue to grow exponentially at these rates for another 25 years, what will the world’s population be in 2025? (If you do this in Excel, please write out the formula that you used somewhere on the spreadsheet.) (10 points) Use the equation for exponential growth P (t) = P (0) exp (rt) for the industrialized and developing countries separately, since they each have different growth rates, then sum up the values: Population (billions) Increase % of total % of population Region r 2000 2025 (# of people) increase 2000 2025 World 6 8.413 2.413 100 100 100 Industrialized countries 0.003 1.3 1.401 0.101 4.2 21.7 16.7 Developing countries 0.016 4.7 7.012 2.312 95.8 78.3 83.3 World’s population in 2025: P (2025) = 4.7*exp (0.016*25) + P (2025) = 1.3*exp (0.003*25) = 7.01 + 1.40 = 8.41 billion people b. What percentage of the increase will occur in developing countries? (10 points) (7.012-4.7)/(8.413-6)*100 = 95.8% c. What percentage of people live (or will live) in developing countries in 2000 and 2025? (10 points) % people living in developing countries in 2000 = (4.7/6)*100 = 78.3% % people living in developing countries in 2025 = (7.012/8.413)*100 = 83.3%
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This note was uploaded on 05/08/2011 for the course CE 11 taught by Professor Horvath during the Spring '11 term at University of California, Berkeley.

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HW1_Solutions - CE 11 1. Assignment #1 SOLUTIONS Page 1...

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