Under what condition can a child be committed to custody by the courts?

The correct answer is that a child can be committed to custody by the courts when the child is without proper care and discipline. This situation indicates that the child may be at risk due to inadequate supervision or parenting, which can lead to neglect or other harmful circumstances. Courts prioritize the safety and well-being of children, and if it is determined that a child is not receiving the necessary care and guidance from their guardians, intervention through custody may be deemed necessary to ensure the child's welfare.

The other options present scenarios that do not align with the conditions under which the courts would intervene. A stable home environment, active participation in school, and consistent obedience are positive indicators of a child’s well-being, suggesting that the child is likely being cared for properly and does not require custody intervention.