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Find an Exponential Function of Theform P(t)=y0ektP(t) = y_{0} e^{k t}

Question 158

Multiple Choice

Find an exponential function of theform P(t) =y0ektP(t) = y_{0} e^{k t} to model the given data.
-Under ideal conditions, a population of rabbits has an exponential growth rate of 11.6%11.6 \% per day. Consider an initial population of 900 rabbits. Find the exponential growth function.


A) P (t) =100e11.6t(t) =100 \mathrm{e}^{11.6 \mathrm{t}}
B) P(t) =100e1.16tP(t) =100 e^{1.16 t}
C) P (t) =900e0.116t(t) =900 e^{0.116 t}
D) P(t) =90e0.116tP(t) =90 e^{0.116 t}

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