If, from the testimony given before the board of supervisors, it appears to the board of supervisors that the public necessity or welfare requires the formation of the district, it shall, by an order entered on its minutes, declare that to be its finding, and shall further declare and order that the territory within the boundaries so fixed and determined be organized as a district, under an appropriate name to be selected by the board of supervisors. The name shall be descriptive of the functions of the district.