They 'modeled' their educational system 'on' the U.S. system. [=they used the U.S. system as a model when they created their educational system]
His best dish is closely 'modeled on' his mother's recipe. [=is based on and very similar to his mother's recipe]
She 'models' [=she works as a fashion model] for the world's most successful modeling agency.
(..) with matching sports pennant, huh? Flower power! Oh, Ken! No one appreciates clothes here, Barbie. No one. Ken, would you model a few outfits for me? Just a few? Go get the key. Where is it, where is it? Where's the key? Where's the key? Bingo! (..)2010 Toy Story 3