The mayor shall be the chief executive officer of the city, and shall preside over the meetings of the council, and perform such duties as may be required of him by statute or ordinance. He shall have supervision over all of the executive officers and employees of the city, and shall have the power and authority to inspect all books and records pertaining to city affairs, which are kept by any officer or employee of the city, at any reasonable time. (1967 Code § 1.002)