People leaving and entering city

  • Thread starter Thread starter tickle_monste
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on estimating the population of a city with an initial population of 40,000, which is projected to double in 50 years due to natural increase. Additionally, there is a net annual increase of 400 people from migration. The goal is to calculate the population after 10 years, with the book providing an answer of 50,240. Participants suggest reviewing calculations and exploring alternative methods, such as changing variables, to arrive at the correct estimate.

PREREQUISITES
  • Understanding of population growth models
  • Familiarity with differential equations
  • Basic arithmetic and algebra skills
  • Knowledge of net migration effects on population
NEXT STEPS
  • Study exponential growth and decay models in population dynamics
  • Learn about differential equations and their applications in demographic studies
  • Explore methods for calculating net migration impacts on urban populations
  • Investigate change of variables techniques in mathematical modeling
USEFUL FOR

Mathematicians, urban planners, demographers, and students studying population dynamics will benefit from this discussion.

tickle_monste
Messages
67
Reaction score
1
(Moderator's note: thread moved from "Differential Equations")

By natural increase, a city, whose population is 40,000, will double in 50 years. There is a net addition of 400 persons per year because of people leaving and moving into the city. Estimate its population in 10 years.

My book gives an answer of 50,240, but I am not sure how to get here. Usually I would put up the work I've already done, but it's all waaayyy off. I have, however, only tried to tackle it the "standard" simplest way, and haven't yet tried introducing a change of variables.
 
Last edited by a moderator:
Physics news on Phys.org
Hi tickle_monste! :wink:

Show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
Replies
9
Views
4K
Replies
31
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K