Question

I need help with my homework PLEASE CHECK WORKNUMNER 3

Answer 1

3) We have a model that relates the number of trees and time, expressed in months (m).

This relation is:

`N(m)=4384*2^(-m)`

We can find the month m where the number of trees is N(m) = 1096 as:

`\begin{gathered} N(m)=1096 \\ 4384*2^(-m)=1096 \\ 2^(-m)=(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}`

Answer: The number of trees will be 1096 after m = 2 months [Option A]