Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
JATOT Question 1 (5 points) A MO12REV The government's investments in infrastructure combined with opportunities to work online is boosting the repopulation of villages in remote mountainous areas. The village Redrock had 1000 inhabitants on January 1", 2020. By January 1", 2025, this number of inhabitants is expected to double. Denote by N the number of inhabitants and by t the time in years from January 1st, 2020. a) Assuming that the population growth is linear, when will there be 4000 inhabitants? b) Assuming that the population growth is exponential, when will there be 4000 inhabitants? c) Assume that the maximum number of inhabitants the village can house is 10 000 and in the long term, the population will approach this maximum. The population growth is now assumed logistic, i.e. modeled by an equation of the form N = a with parameters a, b, c > 0. 1+e-b(t-c) When will there be 4000 inhabitants? d) Find the average growth rate for the population between January 1, 2020 and January 1st, 2025, for each of the three population growth models in a), b) and c).

JATOT Question 1 (5 points) A MO12REV The government's investments in infrastructure combined with opportunities to work online is boosting the repopulation of villages in remote mountainous areas. The village Redrock had 1000 inhabitants on January 1", 2020. By January 1", 2025, this number of inhabitants is expected to double. Denote by N the number of inhabitants and by t the time in years from January 1st, 2020. a) Assuming that the population growth is linear, when will there be 4000 inhabitants? b) Assuming that the population growth is exponential, when will there be 4000 inhabitants? c) Assume that the maximum number of inhabitants the village can house is 10 000 and in the long term, the population will approach this maximum. The population growth is now assumed logistic, i.e. modeled by an equation of the form N = a with parameters a, b, c > 0. 1+e-b(t-c) When will there be 4000 inhabitants? d) Find the average growth rate for the population between January 1, 2020 and January 1st, 2025, for each of the three population growth models in a), b) and c).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 1RP
See similar textbooks
icon
Related questions
Question
JATOT Question 1 (5 points) A MO12REV The government's investments in infrastructure combined with opportunities to work online is boosting the repopulation of villages in remote mountainous areas. The village Redrock had 1000 inhabitants on January 1", 2020. By January 1", 2025, this number of inhabitants is expected to double. Denote by N the number of inhabitants and by t the time in years from January 1st, 2020. a) Assuming that the population growth is linear, when will there be 4000 inhabitants? b) Assuming that the population growth is exponential, when will there be 4000 inhabitants? c) Assume that the maximum number of inhabitants the village can house is 10 000 and in the long term, the population will approach this maximum. The population growth is now assumed logistic, i.e. modeled by an equation of the form N = a with parameters a, b, c > 0. 1+e-b(t-c) When will there be 4000 inhabitants? d) Find the average growth rate for the population between January 1, 2020 and January 1st, 2025, for each of the three population growth models in a), b) and c).
Transcribed Image Text:JATOT Question 1 (5 points) A MO12REV The government's investments in infrastructure combined with opportunities to work online is boosting the repopulation of villages in remote mountainous areas. The village Redrock had 1000 inhabitants on January 1", 2020. By January 1", 2025, this number of inhabitants is expected to double. Denote by N the number of inhabitants and by t the time in years from January 1st, 2020. a) Assuming that the population growth is linear, when will there be 4000 inhabitants? b) Assuming that the population growth is exponential, when will there be 4000 inhabitants? c) Assume that the maximum number of inhabitants the village can house is 10 000 and in the long term, the population will approach this maximum. The population growth is now assumed logistic, i.e. modeled by an equation of the form N = a with parameters a, b, c > 0. 1+e-b(t-c) When will there be 4000 inhabitants? d) Find the average growth rate for the population between January 1, 2020 and January 1st, 2025, for each of the three population growth models in a), b) and c).
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
SEE MORE TEXTBOOKS