Question

Th formula to calculate future population is given below pf=pp x(1+i)n pf=future population, pp present population i, =growth rate, n=number of years​

Answer 1

Future population formula:

$p_{f}=p_{p}\times (1+i)^{n}$

where $p_{f}$ is future population,

$p_{p}$ is present population,

$i$ is growth rate and

$n$ is number of years.

Let us solve a problem using this formula.

Question. The present population of a village is 10000. If the growth rate is 3%, then what will be the population of that village after 2 years?

Solution.

Given, $p_{p}=10000$, $i=3\%$ and $n=2$ years.

Then, $p_{f}=p_{p}\times (1+i)^{n}$

$\Rightarrow p_{f}=10000\times (1+\frac{3}{100})^{2}$

$\Rightarrow p_{f}=10000\times (\frac{103}{100})^{2}$

$\Rightarrow p_{f}=10000\times \frac{10609}{10000}$

$\Rightarrow p_{f}=10609$

Answer.

Therefore the population of that village after 2 years will be 10609.

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