When the governing body of a city adopts a resolution declaring there is need for a housing authority, the governing body promptly shall notify the mayor of the adoption. Upon receiving the notice, the mayor shall appoint no fewer than five commissioners of the authority. When the governing body of a county adopts a resolution declaring there is need for a housing authority, the governing body shall appoint no fewer than five commissioners of the authority. The commissioners must be appointed for terms of five years, except all vacancies must be filled for the unexpired term. The terms of the commissioners must be staggered to ensure an approximately equal number of appointments expire each year and the term of one or more commissioners may initially be less than five years to accommodate the required staggering of terms. A commissioner shall hold office until a successor has been appointed and has qualified. A certificate of the appointment or reappointment of any commissioner must be filed with the auditor of the city or county, as the case may be, and the certificate is conclusive evidence of the appointment of the commissioner. The governing body of the city or county shall establish the rate of compensation for commissioners and actual expenses incurred by commissioners may be reimbursed at the official reimbursement rates of the appointing authority.