Final answer:
A disengaged family is the one that threatens abandonment and may refuse to visit, authorize care, or pay for services, signifying a breakdown in family relationships and emotional bonds. (Option is C).
Step-by-step explanation:
The type of family that threatens abandonment and may refuse to visit or authorize care or pay for services is known as a disengaged family.
These families display a pattern of avoidance and detachment from family relationships, often resulting in a lack of emotional bonds between members.
Signs of disengagement can include parents or guardians who are indifferent, excessively absent, or even neglectful, and they may provide only the child's basic needs, if at all.
This family dynamic contrasts significantly with a nuclear family, an extended family, and even an estranged family, where despite the existence of strain or estrangement, the family members might still care for each other's well-being.
Therefore, the correct option is (c) Disengaged Family.