Population Growth Equation

  • #1
2
0
1. The population of a certain country grows according to the formula:

N = N0e^kt

Where N is the number of people (in millions) after t years, N0 is the initial number of people (in millions) and k = 1/20 ln 5/4.

Calculate the doubling time of this population. Leave your answer in terms
of ln : Do not use a calculator.



2. I don't understand where to start off.


3. I have basically come to the conclusion that N = 2N0
That is how far I have come. I know I haven't done anything as of yet. But any help would be appreciated
 

Answers and Replies

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,796
1,670
Well, you were given a value for k. Did you plug this value into the population equation and make any obvious simplifications?
 
  • #3
symbolipoint
Homework Helper
Education Advisor
Gold Member
6,231
1,219
Use N=2 and No=1.
Take natural log of both sides of the equation.
 
  • #4
2
0
Thanks for the info, will plug in the variables and see where I end up.
 
  • #5
HallsofIvy
Science Advisor
Homework Helper
41,833
964
To see that you get the same "doubling time" for any initial value, take [tex]N= 2N_0[/tex].
 

Related Threads on Population Growth Equation

  • Last Post
Replies
15
Views
2K
Replies
5
Views
1K
  • Last Post
Replies
6
Views
3K
Replies
6
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
2
Views
6K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
7
Views
2K
Top