In this situation, where Lori's goldfish reproduce at a rate of 32 percent each month, the growth of the fish population can be modeled as exponential growth. A key feature of the graph representing this scenario would be that it exhibits a J-shaped curve, reflecting rapid increases over time.
Initially, the population may grow slowly, but as the number of goldfish increases, the monthly reproduction will result in a more significant increase in the population due to the compounding nature of exponential growth. Therefore, within a few months, the graph would show a steep upward trajectory, indicating a faster growth rate as the population size becomes larger.
Another important aspect of the graph is that the population will never decrease (assuming all fish survive and there are no limitations on resources), and it will continue to rise until it potentially reaches a carrying capacity, depending on the tank's limitations. However, under the given conditions and without external factors mentioned, the key feature would be its exponential growth pattern.