In this scenario, the growth of Lori’s goldfish population can be modeled using an exponential growth curve due to the consistent reproduction rate of 32% each month. A key feature of the graph representing this situation is that it will exhibit rapid growth over time, which is characteristic of exponential functions. Specifically, the graph will start relatively flat with a slow increase at first, but as the population grows, the rate of increase will accelerate, leading to a steep upward curve.
Additionally, the y-axis of the graph will represent the number of goldfish, while the x-axis will represent time in months. After a few months, the values on the y-axis will grow significantly due to the compounding effect of the 32% reproduction rate, leading to potentially large populations in a relatively short period of time. This means that the graph will start off slowly but will rise sharply, illustrating the effects of exponential growth.
In summary, the key feature of the graph is its exponential growth pattern, with a subsequent rapid increase in the population of goldfish as they continue to reproduce each month.