What type of democracy is represented by a republic?

A republic is defined as a system of government in which the country is considered a "public matter," and it is not the private concern or property of the rulers. In this framework, elected representatives are accountable to the public and must govern according to existing constitutional law that limits governmental power over citizens. The essence of this system lies in the idea that the populace elects individuals to represent their interests and make decisions on their behalf.

This representation is a crucial aspect of a republic, contrasting with other forms of democracy. In direct democracies, citizens vote directly on laws and policies rather than through elected officials, which is not the case in a republic. Additionally, while some forms of democracy may involve elements of elite governance or lack elected officials, those situations do not align with the foundational principles of a republic as a representative democracy. Thus, the chosen answer accurately encapsulates the nature of a republic as a form of democracy where representatives make decisions.