a) Current population size 7.45 billion It took roughly 200,000 years for the hu

Question

a) Current population size 7.45 billion It took roughly 200,000 years for the human population to reach its first billion. Assuming an nitial population size of 1000, calculate r over the first 200,000 years, including the appropriate units in your answer. (2 points) b) c) If the current population growth rate is 1.14%. How many years will it take for the current population size to double? (1 points) d) Given a current population growth rate of 1.14%, what will population size be in 2030? 1 points)

Explanation / Answer

b) population growth model:

N = No * e^(rt)

1000000000 = 1000 * e^(r * 200000)

r = 0.00007 or 0.0007%

c) 2 = e^(0.014 * t)

t = 49.51 years

d) t = 12 years

N = 7.45 * e^(0.014 * 12)

N = 8.81 billion

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