Question

The logistic growth function Upper P left parenthesis x right parenthesis equals StartFraction 90 Over 1 plus 271 e Superscript negative 0.122 x EndFraction 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 66 66​-year olds who have some coronary heart disease.

Answer 1

about 83%

Explanation:

Put the given value in the formula and do the arithmetic.

... P(66) = 90/(1 +271·e^(-0.122·66))

... = 90/(1 +271·e^-8.052)

... = 90/(1 +271·0.00031846)

... = 90/(1 +0.0863)

... = 90/1.0863

... = 82.8 . . . . percentage with some coronary heart disease