From Longman Dictionary of Contemporary Englishrest with somebody phrasal verbDECIDEif a decision rests with someone, they are responsible for it The final decision rests with the president. → rest→ See Verb tableFrom Longman Business Dictionaryrest with somebody phrasal verb [transitive] formal if a decision, responsibility etc rests with someone, they are in charge of itThe committee is of an advisory nature, and authority rests with individual banks. → rest→ See Verb table