All animals in the food chain, including carnivores, get their carbon indirectly from plant material, even if it is by eating animals which themselves eat plants.The net effect of this is that all living organisms have the same radiocarbon to stable carbon ratio as the atmosphere.As explained below, the radiocarbon date tells us when the organism was alive (not when the material was used).
It can be applied to most organic materials and spans dates from a few hundred years ago right back to about 50,000 years ago - about when modern humans were first entering Europe.
Animals (and humans) get their carbon atoms primarily from what they eat (i.e., plants).
Thus the ratio of radiocarbon to stable carbon in living animal tissue is also virtually the same as the ratio of radiocarbon to stable carbon in the atmosphere at any given time.
The atmosphere contains many stable carbon atoms and relatively few radiocarbon atoms.
The ratio of radiocarbon to stable carbon atoms in the atmosphere has varied in the past.