If the petition proposes that the city install and maintain, or continue to maintain, parking meters on public ways within the district, the legislative body either shall reject the petition, or prior to the adoption of the resolution of intention, shall agree to install and maintain, or continue to maintain, parking meters as proposed in the petition. The legislative body shall not so agree unless it finds and determines that the public interest, convenience, and necessity require that the meters be installed and maintained, or be continued to be maintained, as proposed in the petition.