The logistic function is a power tool in many areas of science, with one of the most

famous being modeling populations with a carrying capacity. Consider the following function

modeling a deer population in a forest over time:

D$($t $)=10000/1+$ e$0\mathrm{.}2311$ t

Where t is measured in years. Based on this model, answer the following questions:

part a$)$ How many deer are predicted to be in the forest in $10$ years?

part b$)$ in how many years will there be $8000$ deer?