Final answer:
Using carbon dating and the known half-life of carbon-14, a marine fossil containing one-half of its original 14C is approximately 5,730 years old.
Step-by-step explanation:
The age of a fossil can be determined using carbon dating, specifically through the measurement of the ratio of carbon-14 (14C) to carbon-12 (12C). Carbon-14 has a known half-life of 5,730 years. If a marine fossil contains one-half of its original 14C, it implies that one half-life has passed since the organism died.
Therefore, since the half-life of 14C is 5,730 years, and the fossil has undergone one half-life (with half of the original 14C remaining), the marine fossil is approximately 5,730 years old.