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A team of biologists introduces a herd of deer onto an uninhabited isl
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02 Nov 2021, 07:46
02 Nov 2021, 07:46
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A team of biologists introduces a herd of deer onto an uninhabited island. The function \(P (t) = P_0 · 2^{0.25t}\) models the expected growth of the deer population on the island, where \(P_0\) is the initial population and t is the elapsed time in years. If the expected deer population in 12 years is 200, what is the expected deer population in 20 years?
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800
Re: A team of biologists introduces a herd of deer onto an uninhabited isl
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02 Nov 2021, 19:57
02 Nov 2021, 19:57
\(P (t) = P_0 · 2^{0.25t}\)
The deer population in 12 years is 200.
\(P(t) = 200\) & \(t = 12\)
\(200 = P_0 * 2^{0.25*12}\)
\(200 = P_0 * 8\)
\(P_0 = 25\)
Now population in \(20\) years \(P(20)\)
\(P(20) = 25 * 2^{0.25*20}\)
\(= 25 * 2^5 = 800\)
Answer \(800\)
The deer population in 12 years is 200.
\(P(t) = 200\) & \(t = 12\)
\(200 = P_0 * 2^{0.25*12}\)
\(200 = P_0 * 8\)
\(P_0 = 25\)
Now population in \(20\) years \(P(20)\)
\(P(20) = 25 * 2^{0.25*20}\)
\(= 25 * 2^5 = 800\)
Answer \(800\)
gmatclubot
Re: A team of biologists introduces a herd of deer onto an uninhabited isl [#permalink]
02 Nov 2021, 19:57
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