{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW1_Solutions

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

This preview shows pages 1–2. Sign up to view the full content.

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%

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.
• Spring '11
• HORVATH
• World population, World resources Institute, Developing countries Regions Asia Europe ME & N. Africa Sub-saharan Africa N. America C. America & Carib S. America Oceania

{[ snackBarMessage ]}

### Page1 / 5

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online