Answer :
It takes about 16 years to reach the population size of 22000.
Population growth is the term used to describe changes in population size over time, which can be either positive or negative. The population growth formula is [tex]P=P_0\times e^{rt}[/tex]. Here, P is the total population size after time t, P₀ is the initial population size, r is the rate of growth, and e is Euler's number (e=2.72).
Given the total population, after time t is 22000, the initial population is 10000, and the rate is 5%.
Then, the time is calculated as,
[tex]\begin{aligned}22000&=10000\times e^{(0.05\times t)}\\\frac{22000}{10000}&=e^{(0.05\times t)}\\\ln(2.2)&=0.05\times t\\t&=\frac{0.788}{0.05}\\&=15.76\\&\approx16\end{aligned}[/tex]
The time it takes to reach a population size of 22000 is 16 years.
To know more about population growth:
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