People from the Capital bet on which person they think will win the Hunger Games. Based on this behavior, do you think that the people of the Capital actually care about the tributes and think of them the same way they'd think about their own children?

no

Explanation:

the capital citizens think of the tributes in the same way people think about racing horses. They are financially invested rather than emotionally. Even if they cry over a tribute, it is more about money lost and is similar to the way you would cry about a pet.