Final answer:
Charcoal with only 10% of the expected carbon-14 content indicates that it is older than the radiocarbon age because the isotope greatly reduces over several half-lives.
Step-by-step explanation:
If charcoal found in a layer of sediment in a cave has an atomic ratio only 10% that of the radiocarbon age of the layer, this indicates that the charcoal is older than the radiocarbon age. Radioactive carbon-14 or 14C is used to determine the age of previously living things through a process called carbon dating.
This technique relies on the predictable decay of carbon-14, which has a half-life of 5730 years. Since the atomic ratio is at 10%, it suggests that multiple half-lives of carbon-14 have passed, significantly reducing the original amount of the isotope present in the charcoal.