The Mayor, pursuant to subchapter I of Chapter 5 of Title 2 [§ 2-501 et seq.], may issue rules to implement the provisions of this chapter. The proposed rules shall be submitted to the Council for a 30-day period of review, excluding Saturdays, Sundays, holidays, and days of Council recess. If the Council does not approve or disapprove the proposed rules, by resolution, within the 30-day period, the proposed rules shall be deemed approved.