The NAACP's New York state branch and the Hispanic Federation have joined beverage makers and sellers in trying to stop the rule from taking effect March 12. With a hearing set Wednesday, critics are attacking what they call an inconsistent and undemocratic regulation, while city officials and health experts defend it as a pioneering and proper move to fight obesity.

The issue is complex for the minority advocates, especially given obesity rates that are higher than average among blacks and Hispanics, according to the federal Centers for Disease Control. The groups say in court papers they're concerned about the discrepancy, but the soda rule will unduly harm minority businesses and "freedom of choice in low-income communities."

The latest in a line of healthy-eating initiatives during Mayor Michael Bloomberg's administration, the beverage rule bars restaurants and many other eateries from selling high-sugar drinks in cups or containers bigger than 16 ounces. Violations could bring $200 fines; the city doesn't plan to start imposing those until June.