Howard comes up with the idea for a trash compactor, and Fonzie becomes his partner to help him build it. They become very excited about the success they could achieve and present "The Gulper" to a corporation for consideration.
After passing make-up health exams and getting permission for Fonzie to participate, the guys arrange for aspects of the graduation ceremony to be sped up in order to accommodate the inclusion of Fonzie's speech.
The guys discover that Fonzie has been going to night school so that he can graduate with them. Marion gave them this information, and she becomes worried that Fonzie will be angry with her for telling.
Joanie enlists Fonzie to be her partner for a marathon dance at Arnold's. She desperately wants to outlast cheerleading captain Jill Higgins who had cut Joanie from the squad earlier. Prior to the dance, however, Fonzie's motorcycle breaks down, and he is forced to push it for 12 miles.
To allow Richie to have a night alone with his girl, Fonzie allows him to use his apartment and claim it as his own. Fonzie needs some rest, so he sleeps in Richie's bed without Howard, Marion, and Joanie knowing.
Though he's up against the two Mallachi brothers by himself, Fonzie is able to win the demolition derby. While waiting at the hospital for Pinky to be released, Fonzie tells Richie that he loves her and wants to marry her.
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