The mayor, with the approval of the council, shall appoint suitable persons as poundmasters for the city whose term of office shall be coterminous with the term of the mayor, but who shall continue in office until their successors are duly qualified and appointed, and whose compensation shall be as hereinafter provided.
(Sec. 3-5.1, R.O. 1978 (1983 Ed.)) (1990 Code, Ch. 3, Art. 4, § 3-4.1)