Except for the student member, a member serves for a term of 4 years beginning on the first Monday in December after the member’s election or appointment and until a successor is elected or appointed and qualifies. An individual who takes office to fill a vacancy for an elected or appointed member serves for the remainder of the term for which the appointment was made and until a successor is elected or appointed and qualifies. The Governor shall act within 30 days to make any appointment to the county board.