Find an exponential function of theform $P(t) = y_{0} e^{k t}$ to model the given data.
-Under ideal conditions, a population of rabbits has an exponential growth rate of $11.6 \%$ per day. Consider an initial population of 900 rabbits. Find the exponential growth function.
A)P $(t)=100 \mathrm{e}^{11.6 \mathrm{t}}$
B) $P(t)=100 e^{1.16 t}$
C)P $(t)=900 e^{0.116 t}$
D) $P(t)=90 e^{0.116 t}$

Question

Quizplus · Accepted Answer

The initial population $y_0$ is 900, and the growth rate $k$ is 11.6% per day, which is 0.116 in decimal form. Thus, the function is $P(t) = 900 e^{0.116 t}$.

Find an Exponential Function of Theform P(t)=y0ektP(t) = y_{0} e^{k t}P(t)=y0​ekt

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