The Authority shall be governed by a board of directors, for purposes of this chapter referred to as the “Authority Board,” which shall consist of the following:
1. Two directors representing the County of Albemarle, each of whom shall be a member of the governing body of the county;
2. Two directors representing the City of Charlottesville, each of whom shall be a member of the governing body of the city;
3. One director representing each county that joins the Authority pursuant to § 33.2-2803, each of whom shall be a member of the governing body of each respective county; and
4. Up to four additional directors, who shall be nonvoting, representing the interests of such agencies, institutions, and facilities described in § 33.2-2803 that join the Authority. All members of the Authority Board shall serve terms coincident with their terms of office. Vacancies shall be filled in the same manner as the original appointments. The Authority Board shall appoint a chair and vice-chair from among its members.