The Member of the Assembly who shall serve upon the Educational Commission of the States representing the State of California shall be selected by the Speaker of the Assembly, and the Member of the Senate who shall serve thereon shall be selected by the Senate Committee on Rules. Each legislative member shall serve at the pleasure of the appointing power. For the purposes of this chapter, such Members of the Legislature shall constitute a joint interim legislative committee on the subject of this chapter and shall have the powers and duties imposed upon such committees by the Joint Rules of the Senate and Assembly.