To determine the absolute age of a rock that contains potassium-40 and argon-40, the most useful measurement would be:
D. the ratio of potassium-40 to argon-40
This ratio allows scientists to calculate how long the potassium-40 has been decaying into argon-40, using the known half-life of potassium-40. By comparing the amounts of both isotopes, one can deduce the age of the rock.