6.8 Exercise 38

Use this scenario: The population $P$ of an endangered species habitat for wolves is modeled by the function $P \left(x\right) = \frac{558}{1 + 54.8 e^{- 0.462 x}} ,$ where $x$ is given in years.

Use the intersect feature to approximate the number of years it will take before the population of the habitat reaches half its carrying capacity.