SOLUTION: The logistic growth function P(x)= 90/ 1+271e^(-.122x) models the percentage P(x), of Americans who are x years old and have some type of coronary heart disease. Use this function

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The logistic growth function P(x)= 90/ 1+271e^(-.122x) models the percentage P(x), of Americans who are x years old and have some type of coronary heart disease. Use this function       Log On


   

Question 548407: The logistic growth function P(x)= 90/ 1+271e^(-.122x) models the percentage P(x), of Americans who are x years old and have some type of coronary heart disease. Use this function to find the age at which the percentage of Americans with some type of heart disease is 69%.
Answer by stanbon(75887) About Me  (Show Source):
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The logistic growth function P(x)= 90/ 1+271e^(-.122x) models the percentage P(x), of Americans who are x years old and have some type of coronary heart disease. Use this function to find the age at which the percentage of Americans with some type of heart disease is 69%.
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69 = 90/[1+271e^(-0.122x)
1+271e^(-0.122x) = 90/69 = 1.3043
e^(-0.122x) = 0.3043/271
Take the natural log:
-0.122x = ln(0.3043/271) = -6.7917
x = 55.67 years of age
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Cheers,
Stan H.
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