Final answer:
Officials elected in a district's government in modern democracies are called representatives. They play a key role in a representative democracy or republic by acting in the interest of their constituents and safeguarding the rights of minorities.
Step-by-step explanation:
In modern democracies, officials elected to a district’s government to work on the people’s behalf are called b) Representatives. These individuals hold office and represent the will of the people who have elected them, ensuring that their expressed interests are taken into account when laws and policies are created. Representatives operate within a republic or a representative democracy where they are duty-bound to protect the rights of not just the majority but also the minority, preventing the tyranny of the majority. This form of governance is central to the operation of democratic nations such as the United States, where governmental power is exercised by elected officials who act on the people's behalf.