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Given Information:
Current Population = P₀ = 7 billion = 7x10⁹
Growth rate = r = 3 %
Period = t = 100 years
Required Information:
(a) Population after 100 years = ?
(b) Population after t = 0, 1, 2, 10, 25, 50 years = ?
(c) Population vs time graph = ?
Explanation:
The human population growth can be modeled as an exponential growth,
where P₀ is the current population, r is the growth rate and t is the time period
(a) What would the population equal 100 years from now?
P = 140.6x10⁹
(b) Compute the level of the population for t = 0, t = 1, t = 2, t = 10, 25, and t =50
<u>t = 0</u>
P = 7x10⁹e⁰
P = 7x10⁹
<u>t = 1</u>
P = 7x10⁹e^0.03*1
P = 7.213x10⁹
<u>t = 2</u>
P = 7x10⁹e^0.03*2
P = 7.423x10⁹
<u>t = 10</u>
P = 7x10⁹e^0.03*10
P = 9.45x10⁹
<u>t = 25</u>
P = 7x10⁹e^0.03*25
P = 14.82x10⁹
<u>t = 50</u>
P = 7x10⁹e^0.03*50
P = 31.37x10⁹
(c) Make a population versus time graph
Attached as image
