Final answer:
Sponsorships are the largest source of own-source revenue for Division 1-A (FBS) athletics departments, followed by media rights.
Step-by-step explanation:
The largest source of own-source revenue for Division 1-A (FBS) athletics departments is sponsorships. Sponsorships include agreements with companies and brands to promote their products or services in exchange for financial support. This can include sponsorships for stadium naming rights, apparel contracts, or partnerships with local businesses.
Media rights, such as television contracts, also provide a significant amount of revenue. These deals allow sports events to be broadcasted on various platforms, generating income through advertising and broadcasting rights fees.
Donations and ticket sales are also sources of revenue for athletics departments, but they are typically not as significant as sponsorships and media rights.