What type of appeal is used when stating a negative decision will have severe consequences for an individual's political prospects?

The correct answer is the type of appeal known as "Negative Consequence Appeal." This method involves highlighting the potential adverse outcomes that could arise from a particular decision or action, especially in a political context. By emphasizing the severe consequences for an individual's political prospects, the appeal strategically aims to convince the audience that avoiding the negative outcome is necessary. This approach effectively influences decisions by implanting a fear of loss or failure, compelling individuals to act in a way that avoids these serious repercussions.

In this context, while a bargain appeal may involve negotiations or exchanges for benefits, it does not specifically address the fear of negative outcomes. Appeal to prestige primarily focuses on status and recognition rather than consequences, and an appeal to emotion encompasses a broader range of feelings beyond just instilling fear. Thus, the focus on indicating severe consequences for political prospects makes "Negative Consequence Appeal" the most fitting choice.