3) We have a model that relates the number of trees and time, expressed in months (m).
This relation is:
[tex]N(m)=4384*2^{-m}[/tex]
We can find the month m where the number of trees is N(m) = 1096 as:
[tex]\begin{gathered} N(m)=1096 \\ 4384*2^{-m}=1096 \\ 2^{-m}=\frac{1096}{4384} \\ 2^{-m}=0.25 \\ 2^{-m}=0.25 \\ -m*\log_2(2)=\log_2(0.25) \\ -m*1=-2 \\ m=2 \end{gathered}[/tex]
Answer: The number of trees will be 1096 after m = 2 months [Option A]
