University:
Carleton College
Course:
MATH 101 | Calculus with Problem Solving
Academic year:

2024
Views:

143

Pages:

2
Author:

larbiwxcvbn

Population Problems Here are some handy equations to help you with the problems assigned. You will need to be familiar with the equations for your test and final. Population Density: a. Population / Area = Population Density Births or Death Rate: a. (# of births per year / Total Population) x 1000 b. (# of deaths per year / Total Population) x 1000 Finding Population Growth Rate (r): a. (Crude Birth Rate - Crude Death Rate) / 10 b. (70% / r (decimal form)) Practice Problems Background: Treharne-Land is a newly formed volcanic island of 5000 square miles that is now part of the Canary Islands. There are currently 250,000 inhabitants of the island. Last year, there were 12,000 new children born (all cute and very intelligent) and 10,000 people were recorded as deceased (mostly hooligans). For these calculations, you are using the population from last year. What is the current population density? 250,000 people / 5000 sq. mi = 50 people/sq. mi a. What do you expect will happen to the density as time goes on? ↑ in population across the same amount of area will ↑ the population density What is the crude birth rate? 12,000 births / 248,000 people = 0.048 x 1000 = 48.3 births / 1000 people What is the crude death rate? 10,000 deaths / 248,000 people = 0.04 x 1000 = 40.03 deaths / 1000 people 4. What stage in the demographic transition model do the birth and death rates suggest for this society? How do you know? BR ≈ DR Stage 1 or Stage 3 5. What is the population growth rate (r)? (12000 - 10000) / 248000 = 0.008 = 0.8% OR (48.3 - 40.3) / 10 = 0.8% 6. How many years will it take the population of Treharne-Land to double? 70% / 0.8% = 87.5 years 7. When would the population double if a fun ruling queen allowed an additional 50,000 immigrants to enter in one calendar year? Births - Deaths + Immigration - Emigration = Total Pop (12000 - 10000 + 50000) / 248000 = 0.174 * 100 = 17.4% 70% / 17.4% = 4.02 years 8. Given a world population growth rate of about 1.3% per year, how long would it take the world's population to double? 70% / 1.3% = 53.85 years a. How old will you be when this doubling occurs? Age + 53.85 years = Your age at doubling