Question

Concerning the growth pattern described in the textbook, what is the correct representation of sigmoidal growth?

A) W1 = Wo * e^rt

B) W1 = Wo * (1 + e^(-rt))

C) W1 = Wo * (1 + e^rt)

D) W1 = Wo * ln(1 + e^(-rt))

E) W1 = Wmax / (1 + e^(-k(t - tm)))

Answer 1

The correct representation of sigmoidal growth is Option E) W1 = Wmax / (1 + e^(-k(t - tm))).

Step-by-step explanation:

The correct representation of sigmoidal growth is Option E) W1 = Wmax / (1 + e^(-k(t - tm))).

This equation represents the logistic growth model, which is characterized by an initial exponential phase followed by a slowing of growth as the population approaches a maximum carrying capacity.

In the equation, W1 represents the final size of the population, Wmax represents the maximum carrying capacity, k represents the growth rate, t represents time, and tm represents the inflection point where growth rate is highest.