In the exposition, Rainsford falls off the boat and hears noises coming from the direction of the island. this causes him to swim to swim towards it and get shelter and sleep for the night.
In The inciting incident Rainsford and General Zaroff were talking and that's when Rainsford started to realize that general zaroffs big game was humans and that he was about to be hunted.
Rainford is being hunted by the General. Rainford makes traps to kill or buy time so he would not be killed by the General. The General got hurt by one of his traps and one killed one of his dogs and killed Ivan.
the dogs were closing in on him and Rainsford had no other option but to jump off the cliff, so he did it. And it gave him a quick route back to the house.
In the falling action of the story it tells us that rainsford was hiding behind the curtains at zarrofs house waiting on him to get home.When zaroff walked into his room rainsford was waiting and they had a duel.
In the resolution of the story we find out that Rainsford has killed zaroff.He gets to sleep in his bed without having to worry about being hunted or killed.