Chapter Project 909 2. Determine the value of r, the growth rate of the population. 3. Find a recursive formula for the population of the United States. 4. Use the recursive formula to predict the population of the United States in the following year. In other words, if data are available up to the year 2019, predict the U.S. population in 2020. 5. Does your prediction seem reasonable? Explain. 6. Repeat Problems 1–5 for Uganda using the CIA World Factbook (in 2018, the birth rate was 42.4 per 1000 and the death rate was 9.9 per 1000). 7. Do your results for the United States (a developed country) and Uganda (a developing country) seem in line with the article in the chapter opener? Explain. 8. Do you think the recursive formula found in Problem 3 will be useful in predicting future populations? Why or why not? Chapter Project Population Growth The size of the population of the United States essentially depends on its current population, the birth and death rates of the population, and immigration. Let b represent the birth rate of the U.S. population, and let d represent its death rate.Then = − r b d represents the growth rate of the population, where r varies from year to year. The U.S. population after n years can be modeled using the recursive function ( ) = + + − p r p I 1 n n 1 where I represents net immigration into the United States. 1. Using data from the CIA World Factbook at https://www. cia.gov/library/publications/resources/the-world-factbook/, determine the birth and death rates in the United States for the most recent year that data are available. Birth rates and death rates are given as the number of live births per 1000 population. Each must be computed as the number of births (deaths) per individual. For example, in 2018, the birth rate was 12.4 per 1000 and the death rate was 8.2 per 1000, so = = = = b d 12.4 1000 0.0124, while 8.2 1000 0.0082 Next, using data from the Immigration and Naturalization Service at https://www.usa.gov/statistics, determine the net immigration into the United States for the same year used to obtain b and d. Internet-based Project Credit: elenabsl/123RF
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