How do you think predator and prey populations affect one another?

It's like saying "If I eat you your population will go down " but for preys case it's "if you have less of me your population will decrease

Predator and prey populations affect each other because if a predator of one prey kills that one animal than that animal dies and the prey decrease by one and when one predator dies from being killed or just naturally dying, then the predators decrease by one.