Within 60 days after January 1, 1984 (the effective date of Article 1 of Public Act 83-911), the Mayor of Mount Vernon, with the advice and consent of the Mount Vernon City Council, shall appoint 7 members of the Board, 2 members to be appointed for a term of one year, 2 members to be appointed for terms of 2 years, and 3 members to be appointed for terms of 3 years, such terms commencing on the date each is appointed. One of the members appointed may be a representative from the Mount Vernon City Council. At the expiration of the term of any member, his successor shall be appointed by the Mayor of Mount Vernon in a like manner. All successors shall hold office for a term of 3 years from the date of appointment, except in case of an appointment to fill a vacancy.