Final answer:
The correct name for BaCO3 is barium carbonate, in line with the naming convention for ionic compounds where the name of Ba (barium) is followed by the anion name (carbonate).
Step-by-step explanation:
The correct name for BaCO₃ is barium carbonate. When naming ionic compounds like this one, you typically use the name of the metal cation followed by the base name of the nonmetal anion and a suffix that reflects the compound structure. In this case, 'Ba' stands for the metal cation barium, and 'CO₃' stands for the carbonate anion. Therefore, the full name is barium carbonate, making option 'c' the correct answer. Other examples of this naming convention include the naming of BaCl₂ as barium chloride. Also, it is important to note that there is no need to specify a prefix mono- for the cation when the metal forms only one type of cation, as is the case with barium.