Final answer:
The rhetorical appeal used in this writing situation is kairos, which is the appeal to the timeliness of the subject matter. The option (4) is correct.
Step-by-step explanation:
The rhetorical appeal used in this writing situation is kairos. Kairos is the appeal to the timeliness of the subject matter and the sense of appropriate timing when attempting to persuade.
In the given examples, the student writer emphasized the immediate need for mental health services and the student's struggle with anxiety and depression, indicating the importance of addressing the issue at the present moment. Therefore, option (4) is correct.