What type of economy is an economic system in which private businesses can operate freely with minimal state control?

command economy

communism

market economy

traditional economy

The correct option here is the third one.

A market economy is the one where the companies are free to operate as the like with only minimal interference of the government. The market here is decided by the powers of the supply and the demand while the government influence is strictly there in a regulatory sense, to protect the rights of the costumers.