You want 1 America the Beautiful Pass.
(I don't think there is any such thing as a "US Parks Pass". Your link, usparkpass.com, is just a third-party site selling the same America the Beautiful pass.)
If you read the rules for that pass carefully, it says:
Allows pass owner and accompanying passengers in a single, private, non-commercial vehicle to ...
It looks like all the options are annual. The guidance for pass use states:
What does the Annual Pass cover?
The Annual Pass admits pass owner/s and passengers in a non-commercial vehicle at per-vehicle fee sites; and pass owner + 3 adults, not to exceed 4 adults, where per-person fees are charged. (Children under 16 are always admitted free.)