Nearly all democracies are of this kind. The adult citizens elect resprentatives: they don't govern themselves directly. Only very small communities can govern themselves directly ("direct democracy") but even then it is often difficult. Three of the least populous Swiss cantons have something close to direct democracy. In Canton Glarus, for example, the laws made by representatives are initially only provisional. Once a year all the adult citizens meet in the capital and vote to confirm or reject the previous year's provisional laws. I wonder if that would work in any state of the U.S.? A referendum, if the result is binding, would also be a form od direct democracy.
why do we have a representative democracy
The United States has a representative democracy.
Representative democracy is a democracy where the people choose a representative to represent them in the government. This representative will then vote for the things the people he represents want.
That is the correct spelling of "representative democracy."
what are the three types of representative democracy
A government which is based on a representative democracy is called a Democracy.
parliamentary democracy can vote for one representative who will pick an official called a prime minster. Representative democracy gets to pick their own representative and don't have to have an official. That's the difference between parliamentary and representative democracy.