Final answer:
The carrying capacity in this logistic growth model is 31.29 grams, the sum of the constant terms in the equation.
Step-by-step explanation:
The carrying capacity in a logistic growth model represents the maximum population size that a particular environment can support indefinitely. In the given logistic growth model, P(t) = 1 + 30.29e-0.3594t, the carrying capacity is represented by the constant term that remains when the population growth rate levels off. As time t approaches infinity, the exponential part of the equation e-0.3594t approaches 0 and does not contribute to the population size, meaning that the carrying capacity is the remaining term, which is 1 + 30.29. Therefore, the carrying capacity of the environment is the sum of these two numbers, which equals 31.29 grams.