Final answer:
The theory that explains why clients in battering relationships will not leave until the benefits exceed the risks is Social Learning theory.
Step-by-step explanation:
The theory that explains why clients in battering relationships will not leave until the benefits exceed the risks is Social Learning theory. According to social learning theory, individuals learn behaviors through observation, imitation, and reinforcement. In the context of battering relationships, clients may observe and imitate the behavior of their abusive partners, and may also receive reinforcements such as apologies or gifts after episodes of violence, leading to a cycle of learned helplessness and dependence. When the benefits (perceived stability, financial support, comfort, etc.) outweigh the risks (physical harm, emotional distress, etc.), clients may choose to stay in the relationship.