please help, I just want to know if I'm right and if I'm not and you know the answer, please tell me it and ill give brainiest

Answer:
You are correct.
Explanation:
The author's purpose is what the author is trying to achieve in their writings.
Randall Allen is explaining why something should be the way it is, he is trying to CONVINCE the school to lengthen the lunch period.
Therefore, the answer is in fact B.