How do differences between the peaks and valleys of the two graphs demonstrate interactions between these populations?

Answer:
peaks and valleys show population increase and decrease between 2 species or more.
Explanation:
the peaks and valleys are used to show predation hence if there is an increase in prey there will be an increase in the predators and if there is a decrease in prey there will be a decrease in predators therefore creating peaks and valleys in that graph hence demonstrating population interactions between the two species.