Final answer:
In the scenario, the type of influence Kevin holds over Amy after doing housework during her trip, and asking for a visit to his parents, is reciprocal influence. This influence is based on the exchange of favors or services, leading to a mutual understanding.
Step-by-step explanation:
In the given scenario where Amy's husband, Kevin, did all the housework during Amy's business trip, and then asked to visit his parents for a week, the kind of influence that Kevin holds over Amy is most likely reciprocal influence. Reciprocal influence is defined as a mutual influence process between individuals or groups. In this case, Kevin has taken care of the household duties, likely with the expectation that this act of service will be recognized and appreciated, perhaps reciprocated by Amy granting him the request to visit his parents.
While the other forms of influence, such as emotional, economic, social, and normative influence, may play a role in relationships and social interactions, reciprocal influence is most directly related to the exchange of favors or services. By performing the housework, Kevin has created a situation in which there is an unspoken understanding that Amy might feel obliged or inclined to grant his request.