Given:
The equation representing the prediction of decline in the population is,
[tex]P=P_Pe^{-0.3t}[/tex]
Population=
[tex]P_P=1000,000[/tex]
e=2.718.
t = 5 years.
Required:
To estimate city's population five years from now.
Explanation:
We have the equation representing the prediction of decline in the population given by,
[tex]P=P_Pe^{-0.3t}[/tex]
Substituting values, we get,
[tex]\begin{gathered} P=(1000,000)\times(2.718)^{-0.3\times5} \\ \Rightarrow P=(1000,000)\times\left(2.718\right)^{-1.5} \\ \Rightarrow P=223164 \end{gathered}[/tex]
Final Answer:
The city's population five years from now is estimated by the value
[tex]P=223164[/tex]
Second option is correct.
