Natural Dead Sea
Natural Dead Sea
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Exponential growth problem?
It is known that a certain kind of algae in the Dead Sea can double in population every 3 days. Suppose that the population of algae grows exponentially, beginning now with a population of 3,000,000.
How long will it take for the population to triple?
How do you do this with e and natural logs?
Thanks alot
Exponential growth is given by e^(rt) where r is the rate and t =time (in days).
To determine r, solve e^(3r) = 2 ==> r = ln(2)/3 = .231
To determine time takes for population to triple
e(.231t) = 3 ==> t = ln(3)/.231 =4.75 days.
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