The governing bodies of a city and one or more other political subdivisions, by resolution, may create a joint job development authority. If the authority is created, the governing bodies of the political subdivisions shall appoint a board of directors in the size and manner established in the resolution. The resolution must include provision for discontinuing the authority by the governing bodies. If the authority is created, the question of discontinuing the authority may be placed on the ballot at the next regular election by a petition signed by qualified electors of a political subdivision within the authority equal in number to ten percent of the votes cast in that political subdivision for the office of governor at the last general election. The question to discontinue the authority requires a majority of the electors voting on the question in that political subdivision for passage. If a majority of the electors voting on the question vote to discontinue the authority in a political subdivision creating the authority, the authority is discontinued. A joint job development authority in which a city is participating may exercise any of the functions and powers of a city job development authority under this chapter.