1. Tardigrade
  2. Question
  3. Biology
  4. In 2005, for each of the 14 million people present in a country, 0.028 were born and 0.008 died during the year. Using exponential equation, the number of people present in 2015 is predicted as

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. In $2005$, for each of the $14$ million people present in a country, $0.028$ were born and $0.008$ died during the year. Using exponential equation, the number of people present in $2015$ is predicted as

Organisms and Populations

Solution:

Exponential equation gives population growth rate as
$\frac{dN}{dt}=rN$
Here, $r =$ intrinsic rate of natural increase
$N =$ size of original population
$\frac{dN}{dt}=$ Increase in population size per unit time ($1$ year in this case)
$r$ is the difference between birth and death rate.
$r = 0.028 -0.008 = 0.02$
$\therefore \frac{dN}{dt}=0.02\times14$ million $= 0.28$ million
Over $10$ years $(2005 - 2015)$, this number will become
$= 2.8$ million.
Expected population in $2015 = (14 + 2.8)$ million
$= 17$ million (approx.)