rate vs quantitative relation

rate and quantitative relation both are nouns.

Word	Noun	Adjective	Verb	Adverb
rate	Yes	No	Yes	No
quantitative relation	Yes	No	No	No

As nouns, quantitative relation is a hypernym of rate; that is, quantitative relation is a word with a broader meaning than rate:

Other hypernyms of rate include magnitude relation.

rate (noun)	quantitative relation (noun)
the relative speed of progress or change	a relation between magnitudes
amount of a charge or payment relative to some basis
a quantity or amount or measure considered as a proportion of another quantity or amount or measure
a magnitude or frequency relative to a time unit

rate (verb)	quantitative relation (verb)
assign a rank or rating to
estimate the value of
be worthy of or have a certain rating