(a) Any person holding any office or the member of any board affected by any provision of this amended Charter shall continue in office and in the performance of his duties until provision shall have been made in accordance therewith for the performance of such duties or the discontinuance of the office or board or department.
(b) When such provision shall have been made, the term of the officer or board member shall expire, and the office or board abolished. The powers which are conferred and the duties which are imposed upon any officer, board or department of the City under the provisions of this amended Charter and the general laws of the State of Ohio shall, if such office, board or department is abolished by this amended Charter, be thereafter exercised and discharged by the officer, board or department upon whom are imposed corresponding functions, powers and duties under this amended Charter.