"If no one trusts the media, how do they remain in business?"

They hope that the viewers still have trust in the products they advertise?
Without advertising, name one news source in America that would still be solvent.
Name one News agency that still has an untarnished recored of impartial reporting.
Name one that hasn't been shown to either twist the truth to fit their viewers agenda, or that of their owners.
Name one that hasn't had a major journalist, I use that term loosely, not involved in a scandal, mostly twisting the reporting to fit an agenda.

 Gone are the days of a Murrow, or Cronkite, and viewers choose their News, the same way they pick their other nightly viewing, by what appeals to their present taste or personal outlook, FOX and CNN, MSNBC, being some of the worst offenders.