Question
Find the logistic function that satisfies the given conditions.
15) Initial value = 35, limit to growth = 140, passing through (1, 56)
Thank you!
15) Initial value = 35, limit to growth = 140, passing through (1, 56)
Thank you!
Answers
Steve
Given your parameters, you have
y(t) = (35*140)/(35+(140-35)e^(-rt)) = 4900/(35+105e^(-rt))
So, using y(1)=56,
4900/(35+105e^(-4r)) = 56
r = 0.1733
That makes y(t) = 4900/(35+105e^(-0.1733t))
y(t) = (35*140)/(35+(140-35)e^(-rt)) = 4900/(35+105e^(-rt))
So, using y(1)=56,
4900/(35+105e^(-4r)) = 56
r = 0.1733
That makes y(t) = 4900/(35+105e^(-0.1733t))