math

Find the logistic function that satisfies the given conditions.
15) Initial value = 35, limit to growth = 140, passing through (1, 56)

Thank you!

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  1. 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))

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