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Q.

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?

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a

2012

b

739

c

1218

d

448

answer is C.

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Detailed 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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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?