The second power reserved to the people is the mini-initiative. Any ordinance or amendment to an existing ordinance may be proposed to the county council by registering with the officer in charge of holding elections initiative petitions bearing the signatures of qualified voters equal in number to not less than three percent of the number of votes cast in the county in the last governor’s election. Upon verifying the sufficiency of the signatures, such officer shall transmit the initiative petition to the county council which shall hold a public hearing on the proposed ordinance and enact, reject or modify the proposed ordinance within thirty days.