Question

The exponential models describe the population of the indicated country, A, in millionthe greatest growth rate? By what percentage is the population of that country increaCountryhas the greatest growth rate.

Answer 1

We are given the following logistic growth function P(x)

`P(x)=(90)/(1+271e^(-0.122x))`

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

`\begin{gathered} P(55)=\frac{90}{1+271e^{-0.122(55)_{}_{}}} \\ P(55)=\frac{90}{1+271e^{-6.71_{}}} \\ P(55)=(90)/(1+0.33) \\ P(55)=67.7\% \end{gathered}`

Therefore, the percentage of 55-years old with some coronary heart disease is 67.7% (rounded to one decimal)