NEW YORK >> Opponents of the city’s limit on the size of sugary drinks are raising questions of racial fairness alongside other complaints as the novel restriction faces a court test.

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.

The city Board of Health OK’d the measure in September. Officials cited the city’s rising obesity rate — about 24 percent of adults, up from 18 percent in 2002 — and pointed to studies linking sugary drinks to weight gain. Care for obesity-related illnesses costs more than $4.7 billion a year citywide, with government programs paying about 60 percent of that, according to city Health Commissioner Dr. Thomas Farley.

“It would be irresponsible for (the health board) not to act in the face of an epidemic of this proportion,” the city says in court papers. The National Association of Local Boards of Health and several public health scholars have backed the city’s position in filings of their own.

Opponents portray the regulation as government nagging that turns sugary drinks into a scapegoat when many factors are at play in the nation’s growing girth.

The American Beverage Association and other groups, including movie theater owners and Korean grocers, sued. They argue that the first-of-its-kind restriction should have gone before the elected City Council instead of being approved by the Bloomberg-appointed health board.

Five City Council members echo that view in a court filing, saying the Council is “the proper forum for balancing the city’s myriad interests in matters of public health.” The Bloomberg administration counters that the health board, made up of doctors and other health professionals, has the “specialized expertise” needed to make the call on limiting cola sizes.

The suit also argues the rule is too narrow to be fair. Alcohol, unsweetened  juice and milk-based drinks are excluded, as are supermarkets and many convenience stores — including 7-Eleven, home of the Big Gulp — that aren’t subject to city health regulations.

The NAACP and the Hispanic Federation, a network of 100 northeastern groups, say minority-owned delis and corner stores will end up at a disadvantage compared to grocery chains.

“This sweeping regulation will no doubt burden and disproportionally impact minority-owned businesses at a time when these businesses can least afford it,” they said in court papers. They say the city should focus instead on increasing physical education in schools.

During Bloomberg’s 11-year tenure, the city also has made chain restaurants post calorie counts on their menus and barred artificial trans fats in french fries and other restaurant food.

In general, state and local governments have considerable authority to enact laws intended to protect people’s health and safety, but it remains to be seen how a court will view a portion-size restriction, said Neal Fortin, director, Institute for Food Laws and Regulations at Michigan State University.