Middle-aged widow Beatrice Hunsdorfer (Joanne Woodward) and her daughters Ruth (Roberta Wallach) and Matilda (Nell Potts) are struggling to survive in a society they barely understand. Beatrice dreams of opening an elegant tea room but does not have the wherewithal to achieve her lofty goal. Epileptic Ruth is a rebellious adolescent, while shy but highly intelligent and idealistic Matilda seeks solace in her pets and school projects, including one designed to show how small amounts of radium affect marigolds.

Geeky student Arnie Cunningham falls for Christine, a rusty 1958 Plymouth Fury, and becomes obsessed with restoring the classic automobile to her former glory. As the car changes, so does Arnie, whose newfound confidence turns to arrogance behind the wheel of his exotic beauty. Arnie’s girlfriend Leigh and best friend Dennis reach out to him, only to be met by a Fury like no other.