The discussion centers on the relationship between radioactivity and the number of atoms in a sample, specifically how to graph this relationship. The equation A = -λN indicates that activity (A) is proportional to the number of undecayed atoms (N), with a negative sign reflecting the decay process. While some view activity as a positive quantity, the negative sign in the equation represents the rate of decay over time. As the number of undecayed atoms decreases, the activity also decreases, leading to a graph that likely shows an exponential decay curve. Understanding this relationship is crucial for accurately representing radioactivity in graphical form.