The logistic growth function P(x) = 90/1+271e^-0.122x models the percentage, P(x), of Americans who are x years old with some coronary hear disease. Please help????
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1 :
Coronary Heart Disease at 70, 75 and 79 Years of Age: A Longitudinal Study with Special Reference to Sex Differences and Mortality
2 :
70/1 = 90 / (1+271e^-0.122x) cross multiply: 70 (1+271e^-0.122x) = 90 divide by 70 1+271e^-0.122x = 9/7 subtract 1 (as 7/7) 271e^-0.122x = 2/7 divide by 271 e^-0.122x = 2/1897 natural log both sides -0.122x = -6.854881789 divide by -0.122 x = 56.18755565 so a little over 56 years old. Seems a bit low, check the math
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