(1) At the time of installing and swearing in the councilmen following each general city election, or special election called for the purpose of electing officials, the council shall elect one (1) of their members to be designated the mayor. He shall serve for a period of two (2) years unless sooner removed by the council or becomes disqualified.
(2)  By ordinance, a city may provide for the direct election of the mayor by the voters. When direct election is permitted, the mayor’s position on the ballot shall replace that of one (1) councilman. Prior to the opening of the filing for candidacy for mayor, the term of the direct elected mayor shall be designated, by ordinance, as two (2) years or four (4) years. The direct elected mayor shall have no changes in his powers as defined in section 50-810, Idaho Code.