The logistic growth function Px 901271e0122x models the per

The logistic growth function P(x) = 90/1+271e^-0.122x models the percentage, P(x), of Americans who are x years old and have some coronary heart disease. Use this function to find the the percentage of 43-year olds who have some coronary heart disease. What is the percentage of 43 -year olds with some coronary heart disease? % (Round to one decimal place.)

Solution

P(x) ,the percentage of Americans who are x years of age and have some coronary disease = 90/[ 1+ 271e^-0.122x ]. Thus, the percentage of Americans who are 43 years of age and have some coronary disease = 0/[ 1 + 271e^-0.122*43] = 90/[1 + 271e^-5.246] = 90/[ 1 +271* 0.00526855051] = 90/ ( 1 +1.427777188)= 90/ 2.427777188 =  37.071 = 37.1%