Answer:

So the correct inferences would be:

a. Volcano A is older than C.

Explanation:

Based on the given information we can make a few inferences about the ages of the volcanoes:

1. Volcano A is on top of the mantle plume which suggests that it has been active for a significant period of time. This indicates that Volcano A is likely one of the older volcanoes.

2. Volcano B is located 10 km farther away from Volcano A. This distance alone does not provide any direct information about the age of Volcano B.

3. Volcano C is the farthest volcano from the mantle plume. Since the distance from the mantle plume increases as we move from Volcano A to Volcano C it suggests that the activity of the mantle plume has been gradually decreasing over time. As a result Volcano C is expected to be younger than Volcano A.

Based on these inferences we can conclude that:

a. Volcano A is older than C (inferred from the position on the mantle plume)

b. Volcano B may or may not be the oldest since the information provided doesn't directly indicate its age.

c. Since Volcano C is the farthest from the mantle plume and expected to be younger than Volcano A Volcano B cannot be the youngest.

d. Volcano B may or may not be younger than C since the provided information doesn't directly indicate the relative ages between B and C.