We are given the following logistic growth function P(x)
[tex]P(x)=\frac{90}{1+271e^{-0.122x}}[/tex]The function P(x) models the percentage of Americans who have coronary heart disease.
Here x is the age.
Let us find the percentage of 55-years old who have some coronary heart disease.
Substitute x = 55 into the function
[tex]\begin{gathered} P(55)=\frac{90}{1+271e^{-0.122(55)_{}_{}}} \\ P(55)=\frac{90}{1+271e^{-6.71_{}}} \\ P(55)=\frac{90}{1+0.33} \\ P(55)=67.7\% \end{gathered}[/tex]Therefore, the percentage of 55-years old with some coronary heart disease is 67.7% (rounded to one decimal)
