Problem 5 Data in the following table relate to population of a country over the last three decades. Assume that the population of the country is increasing exponentially. Year Population (in millions) 1990 22 1995 28 |2000 34 2005 45 2010 48 2015 50 2020 53 (a) Is the exponential model a good description of the past growth of the population? [Hints: Plot the natural logarithms of population against time.] (b) Project the population of the country for the year 2030, and 2045, considering 2020 as the base year and the constant average annual growth rate. (c) If the NRR for the country is 2.1 and its annual growth rate is same as obtained in (b), find the mean length of generation for the population.
Problem 5 Data in the following table relate to population of a country over the last three decades. Assume that the population of the country is increasing exponentially. Year Population (in millions) 1990 22 1995 28 |2000 34 2005 45 2010 48 2015 50 2020 53 (a) Is the exponential model a good description of the past growth of the population? [Hints: Plot the natural logarithms of population against time.] (b) Project the population of the country for the year 2030, and 2045, considering 2020 as the base year and the constant average annual growth rate. (c) If the NRR for the country is 2.1 and its annual growth rate is same as obtained in (b), find the mean length of generation for the population.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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Demographics methods
![Problem 5
Data in the following table relate to population of a country over
the last three decades. Assume that the population of the country
is increasing exponentially.
Year Population (in millions)
1990
22
1995
28
|2000
34
2005
45
2010
48
2015
50
2020
53
(a) Is the exponential model a good description of the past
growth of the population? [Hints: Plot the natural
logarithms of population against time.]
(b) Project the population of the country for the year 2030,
and 2045, considering 2020 as the base year and the
constant average annual growth rate.
(c) If the NRR for the country is 2.1 and its annual growth
rate is same as obtained in (b), find the mean length of
generation for the population.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9d6b1e5-eb43-48e0-bcf5-95ef9da8bdcc%2Fdf674f22-7ceb-47ba-8444-671f28314d95%2F8euxb3f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 5
Data in the following table relate to population of a country over
the last three decades. Assume that the population of the country
is increasing exponentially.
Year Population (in millions)
1990
22
1995
28
|2000
34
2005
45
2010
48
2015
50
2020
53
(a) Is the exponential model a good description of the past
growth of the population? [Hints: Plot the natural
logarithms of population against time.]
(b) Project the population of the country for the year 2030,
and 2045, considering 2020 as the base year and the
constant average annual growth rate.
(c) If the NRR for the country is 2.1 and its annual growth
rate is same as obtained in (b), find the mean length of
generation for the population.
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