Question

which statement primarily appeals to ethos to support the position that schools should eliminate long summer vacations in favor of a year - round calendar?
despite the opposition from students that a year - long schedule would surely cause, eliminating long summer vacations would provide a number of important benefits, including improved student learning outcomes.
although it may come as a surprise, i would prefer a year - round school schedule to our current system. as an academically competitive high school junior, i would appreciate a shorter summer break, since it would help limit the typical summer \memory loss.\
long summer breaks are famously associated with relaxation so extreme that it verges on sloth, as students sleep until noon and spend hours lounging with friends.

Explanation:

Ethos is an appeal to credibility. The second statement uses the speaker's identity as an "academically competitive high school junior" to add credibility to the argument for a year - round schedule. This personal credential (being a student in a competitive academic environment) is an ethos appeal. The first statement is more of a general claim without a specific credibility - building element. The third statement is an appeal to pathos (emotional appeal about sloth) rather than ethos.

Answer:

The second statement: "Although it may come as a surprise, I would prefer a year - round school schedule to our current system. As an academically competitive high school junior, I would appreciate a shorter summer break, since it would help limit the typical summer'memory loss.'"