Suppose that the population (in millions) of a Egypt in 2007 is 80.3 and that expected continuous annual rate of change of the population is $0.017$. The exponential growth model for the population by letting $t = 0$ corresponds to 2000 is $P = 71.2910 e ^ { 0.017 t }$. Use the model to predict the population of the country in 2013 . Round your answer to two decimal places.
A) $83.08$ million
B) $87.42$ million
C) $90.45$ million
D) $88.92$ million
E) $81.68$ million

Question

Quizplus · Accepted Answer

To find the population of Egypt in 2013 we need to substitute t = 13 (since 2013 corresponds to t = 13) into the exponential growth model and solve for P. 
\begin{align*}
P &= 71.2910 e ^ { 0.017	imes 13 }\
&= 71.2910 e ^ {0.221}\
&\approx 88.92\ 	ext{million}
\end{align*}

Rounding to two decimal places gives us the answer D) 88.92 million.

Suppose That the Population (In Millions) of a Egypt in 2007