The answer is Pathos: As we can see from the efforts by Fleur on persuading his audience to join the peace corps, he decides to tell a personal experience with emotional elements. Pathos was an element of persuasion used in ancient Greece mostly by Aristotle's, sometimes used in addition to the former elements of ethos or logos. While logos appeals to reason and rational thinking, pathos lets the emotional impact of the reasoning be the force behind the rhetoric.
The use of phatos as a resource for being persuasive is widespread among political speech, or speech portrayed in mass media and other spheres of the public realm where we don't notice if the logic of the argument is properly constructed many times, therefore, there is an emotional element that seeks the sole purpose of finding empathy among the listeners, the audience in order to mobilize, to convince, etc.
