Final answer:
The wooden sample from the dugout canoe is approximately 11,500 years old.
Step-by-step explanation:
The question asks about determining the age of a wooden sample found in a river bed by analyzing its carbon-14 content. Carbon-14 is a radioactive isotope that decays over time. By comparing the carbon-14 disintegration rate in the wood sample to the expected disintegration rate in a living tree, we can estimate the age. In this case, the wood sample has one-quarter of the expected carbon-14, indicating that it is approximately 11,500 years old. Therefore, option D, about 11,500 years, is the correct answer.