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Differential Equations : Rate of Population Growth

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6. A population grows exponentially. At 10 years, the population is 1,000. At 20 years, it is 2,000. What was the approximate population at 5 years?
A. 140 B. 250 C. 500
D. 700 E. 750

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Population is found using growth rate. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.

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Population at time t(years)
P(t) = Po*exp(k*t)
where Po = current population
k = constant

at t = 10 years,
P(10) = 1000 ...

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  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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