I can't give the answer to your assignment, but I can help you understand it. After reading the four theories, think about which one utilizes persuasion techniques the best. Here is a guide that can help you: https://open.lib.umn.edu/communication/chapter/11-4-persuasive-strategies/
Whichever theory more closely matches the persuasion strategies would be your most persuasive. You don't have to necessarily agree with any of the theories; you just have to think about which one is more persuasive.
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