Final answer:
Among the given articles, 'Manners Make the Man' is the title that most likely serves a persuasive purpose by advocating the importance of proper etiquette in shaping social interactions.
Step-by-step explanation:
The article that is most likely written to persuade readers among the given options is 'Manners Make the Man'. Unlike the other titles which seem to be informational (The History of Dinner Etiquette), entertaining (Humorous Tales from the Table), or instructional (Five One-Dish Dinners), 'Manners Make the Man' implies an advocacy for the importance of manners, suggesting that it aims to convince readers of the societal value of proper etiquette. This title aligns with the persuasive purpose of using the context of dining to influence opinion or behavior towards the significance of manners in shaping social interactions.