Final answer:
The initial value of the logistic model f(x) = 5/24 e^(-0.432x) is 5/24 or approximately 20.83 when x is 0.
Step-by-step explanation:
The initial value of a logistic model is found when x=0. The given logistic model is f(x) = ⅔e^{-0.432x}.
To find the initial value, we substitute x with 0, which yields f(0) = ⅔e^{-0.432(0)} = ⅔(1) since any number to the power of 0 is 1. Thus, the initial value of this logistic model is ⅔ or approximately 20.83.