Question

populations starting out in closed environments grow slowly at first, when there are relatively few members, then more rapidly as the number of reproducing individuals increases and resources are still abundant, then slowly again as the population reaches the carrying capacity of the environment.answer parts a and b belowa. use graphical techniques to graph the derivative of the fruit fly population, using the given graph of the population. choose the correct graph of the derivative

Explanation:

Step1: Analyze original population curve

The given population graph is a logistic growth curve (S-shaped). Its slope (derivative) starts at 0, increases to a maximum at the inflection point (where the curve is steepest, around time 20), then decreases back to 0 as the curve flattens at carrying capacity.

Step2: Match to derivative graph

We need a graph that starts near 0, rises to a peak, then falls back to 0. Option A fits this pattern: it starts low, increases to a maximum around time 20, then decreases to 0.

Answer:

A. <The graph that starts near 0, rises to a peak around time 20, then falls back to 0>