Sec. 5. (a) Each member of a multiple county board of health shall be appointed for a term of four (4) years.
(b) Unless otherwise required by law, after December 31, 1991, board members serve staggered terms. The appointing authority shall appoint members of a board in existence on December 31, 1991, and the initial members of a board established after December 31, 1991, as follows:
(1) One (1) member shall be appointed for one (1) year.
(2) Two (2) members shall be appointed for two (2) years.
(3) Two (2) members shall be appointed for three (3) years.
(4) Two (2) members shall be appointed for four (4) years.