There may be established in every city a board of examiners of plumbers consisting of three members, one of whom shall be a member of the health department of the city, who shall be ex officio chairperson of the board of examiners; a second member, who shall be a master plumber; and a third member, who shall be a journeyman plumber. The second and third members shall be appointed by the mayor and approved by the governing body of the city, and may be paid from the general fund of the city, in such amount as the governing body of the city may designate.