In which case to the supreme court ruled that the us government have the right to regulate private business

The correct answer for this is 'Munn v. Illinois'.

Explanation:

In 1877, there was a case of Munn v. Illinois in which the Supreme Court of the United States of America upheld the power of the government to regulate private industries.

As a result of the Illinois legislature’s responding to pressure from the National Grange (which was an association of the farmers), this case was developed.

Therefore, the Supreme Court gave the right to the US government to regulate private businesses/