The world population was 6.7 billion at the beginning of2008. An exponential model
Chapter 3, Problem 114(choose chapter or problem)
The world population was 6.7 billion at the beginning of2008. An exponential model predicts the population to beP(t)=6.7ekt billion t years after 2008, where k is thecontinuous annual growth rate.(a) How long does the model predict it will take for thepopulation to reach 10 billion, as a function f(k)?(b) One current estimate is k = 0.012 = 1.2%. Howlong will it take for the population to reach 10 billionif k has this value?(c) For continuous growth rates near 1.2%, find a linearfunction of k that approximates the time for theworld population to reach 10 billion.(d) Find the time to reach 10 billion and its approximationfrom part (c) if the continuous growth rate is1.0%.
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