5.10    VACANCIES.  A vacancy in an elective City office during a term of office shall be filled, at the Council’s option, by one of the two following procedures:

(Code of Iowa, Sec. 372.13 [2])

1.         Appointment.  By appointment following public notice by the remaining members of the Council within forty (40) days after the vacancy occurs, except that if the remaining members do not constitute a quorum of the full membership, or if a petition is filed requesting an election, the Council shall call a special election as provided by law.

(Code of Iowa, Sec. 372.13 [2a])

2.         Election.  By a special election held to fill the office for the remaining balance of the unexpired term as provided by law.

(Code of Iowa, Sec. 372.13 [2b])