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Populations

Question

In a hypothetical population of 100 individual having ‘r’ = 0.5/ female/ year, what will be the population size in 6 years (with e = 2.72) showing exponential rate of growth?

Difficult

Solution

${N_{0}}_{}$ (Initial population) = 100
r (growth rate) = 0.5
t (time) = 6 years
e = 2.72
${N_{t}}_{}$ = $N_{o} e^{rt}$
= $100 x 2 . 72^{0.5 x 6}$
= $100 x 2 . 72^{3}$
= 100 x 20.12
Population after 6 years = 2012

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