Final answer:
The incorrect statement about the weak mayor-council model is that city council members are appointed; in this system, they are elected, not appointed.
Step-by-step explanation:
Under the weak mayor type of the mayor-council model of city government, the option that does not describe this system is C) The city council members are appointed. In a weak mayor system, the mayor's abilities are significantly curtailed, often acting in a ceremonial capacity and having limited legislative power, such as a restricted ability to veto legislation. Both the mayor and the city council members are elected by the voters, and it is not characteristic of this system for the council members to be appointed. The city council maintains legislative duties and largely controls the municipal government. Therefore, in a weak mayor system, the city council holds more power and influence over city affairs.