What is the importance of radiocarbon dating

Radiocarbon dating can be used to estimate the age of material, such as
animal bones or plant remains, that comes from a formerly living organism.
When the organism dies, the amount of carbon-14 in its remains decays
exponentially. Suppose that f(t) is the amount of carbon-14 in an organism
at time t (in years), where t = 0 corresponds to the time of the death of the
organism. Assume that the amount of carbon-14 is modelled by the
exponential decay function