Problem 1. Population data for San Diego County, CA, from 1930 to 1990, are presented in the figure below. During this time, the population in the county has grown dramatically, going from 209,659 in 1930 to 2,520,500 in 1990. The county has hired you as the high-priced consultant to help them with some long range planning issues. As part of this project, you need to make some population projections a. In 1992, the overall birth rate in San Diego was 19.3 births per 1,000 population per year, the mortality rate was 7.1 deaths per 1000 population per year, and the net migration (domestic intra U.S. plus foreign) was 30.8 per 1000 population per year. Calculate the average annual population growth rate for San Diego from this information, as people per year per 1000 population and as percent per year. b. Assuming exponential growth, use the average annual growth rate you calculated in part (a) to predict the population in the county in the year 2020, using the 1990 population as the time zero value. 4000000 3500000 3000000 2500000 2000000 1500000 1000000 500000 1950 Date (Year) Poplation 1920 1930 1940 1960 1970 1980 1990 2000

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
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Problem 1. Population data for San Diego County, CA, from 1930 to 1990, are presented in the
figure below. During this time, the population in the county has grown dramatically, going from
209,659 in 1930 to 2,520,500 in 1990. The county has hired you as the high-priced consultant to
help them with some long range planning issues. As part of this project, you need to make some
population projections
a. In 1992, the overall birth rate in San Diego was 19.3 births per 1,000 population per year,
the mortality rate was 7.1 deaths per 1000 population per year, and the net migration
(domestic intra U.S. plus foreign) was 30.8 per 1000 population per year. Calculate the
average annual population growth rate for San Diego from this information, as people per
year per 1000 population and as percent per year.
b. Assuming exponential growth, use the average annual growth rate you calculated in part
(a) to predict the population in the county in the year 2020, using the 1990 population as the
time zero value.
4000000
3500000
3000000
2500000
2000000
1500000
1000000
500000
1950
1960
1980
Date (Year)
Poplation
1920
1930
1940
1970
1990
2000
Transcribed Image Text:Problem 1. Population data for San Diego County, CA, from 1930 to 1990, are presented in the figure below. During this time, the population in the county has grown dramatically, going from 209,659 in 1930 to 2,520,500 in 1990. The county has hired you as the high-priced consultant to help them with some long range planning issues. As part of this project, you need to make some population projections a. In 1992, the overall birth rate in San Diego was 19.3 births per 1,000 population per year, the mortality rate was 7.1 deaths per 1000 population per year, and the net migration (domestic intra U.S. plus foreign) was 30.8 per 1000 population per year. Calculate the average annual population growth rate for San Diego from this information, as people per year per 1000 population and as percent per year. b. Assuming exponential growth, use the average annual growth rate you calculated in part (a) to predict the population in the county in the year 2020, using the 1990 population as the time zero value. 4000000 3500000 3000000 2500000 2000000 1500000 1000000 500000 1950 1960 1980 Date (Year) Poplation 1920 1930 1940 1970 1990 2000
Expert Solution
Step 1

Given
a)
Overall birth rate is 19.3 births per 1000 people.
Overall death rate is 7.1 deaths per 1000 people
Net migration is 30.8 people per 1000 people

The annual population growth rate is calculated as shown below
=Birth rate - death rate + net migration rate=19.3-7.1+30.8=43

The average annual growth in San Diego population in 1992 is 43 people per 1000 population per year.

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