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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education