Final answer:
A legislator who votes according to his or her district's wishes is following the delegate model of representation. This model emphasizes enacting the direct desires of constituents, as opposed to the trustee model, where the legislator uses their own judgment.
Step-by-step explanation:
A legislator who votes in accordance with their interpretation of what his or her district would want is following the delegate model of representation. In this model, the legislator acts based on the preferences of their constituents, making an effort to enact the wishes of the people they represent.
Unlike in the trustee model of representation, where the representative uses their own judgment to decide what is in the constituents' best interests, the delegate prioritizes the direct desires of the people.
However, the reality of representation often falls somewhere between the delegate and trustee models, leading to what political scientists refer to as the politico model of representation. Here, representatives may switch between acting as a delegate or a trustee based on a variety of factors, such as the salience of an issue or the level of their policy knowledge compared to the public interest.