ST. PAUL, Minn.: Facing a rising death toll from drug overdoses, state lawmakers across the country are testing a strategy to boost treatment for opioid addicts: Force drug manufacturers and their distributors to pay for it.

Bills introduced in at least 15 states would impose taxes or fees on prescription painkillers. Several of the measures have bipartisan support and would funnel millions of dollars toward treatment and prevention programs.

In Montana, state Sen. Roger Webb, a Republican, sees the approach as a way to hold drugmakers accountable for an overdose epidemic that in 2016 claimed 42,000 lives in the U.S., a record.

“You’re creating the problem,” he said. “You’re going to fix it.”

Opioids include prescription painkillers such as Vicodin and OxyContin as well as illegal drugs such as heroin and illicit versions of fentanyl. Public health experts say the crisis started because of overprescribing and aggressive marketing of the drugs that began in the 1990s. The death toll nationwide has continued to rise even as prescribing has started to drop.

Ohio is among the top five states with the highest rates of opioid-related overdose deaths, according to figures reported in February by the National Institute on Drug Abuse.

In Summit County, a general trend of declining overdoses began around November for people who sought help at hospitals in 16 county ZIP codes, but they ticked up again last week.

A Pennsylvania opioid tax bill was introduced in 2015 and a federal version was introduced a year later, but most of the proposals arose during the past year. The majority of them have yet to get very far, with lawmakers facing intense pressure from the pharmaceutical industry to scuttle or soften the legislation.

Drugmakers and distributors argue that it would be wrong to tax prescription drugs, that the cost increases would eventually be absorbed by patients or taxpayers, and that there are other ways to pay for addiction treatment and prevention.

“We have been engaged with states to help move forward comprehensive solutions to this complex public health crisis and in many cases have seen successes,” Priscilla VanderVeer, a spokeswoman for Pharmaceutical Research and Manufacturers of America, said in a statement. “However, we do not believe levying a tax on prescribed medicines that meet legitimate medical needs is an appropriate funding mechanism for a state’s budget.”

Two drug companies that deployed lobbyists — Purdue Pharma and Pfizer — responded to questions with similar statements.

A spokesman for the Healthcare Distribution Alliance, which represents drug distributors, said a tax would mean cancer patients and those in end-of-life care might not be able to get the prescriptions they need.

The pharmaceutical industry has emphasized that the name-brand drug companies that make up its members already give rebates to states for drugs funded by Medicaid. Those rebates amount to billions of dollars nationwide that states could use to address opioid addiction, the trade group says.

State legislation to tax opioids comes as manufacturers and distributors are defending themselves in hundreds of lawsuits filed by state and local governments, including Ohio, seeking damages for the toll the overdose epidemic has taken on communities.

David Humes, whose son died from a heroin overdose in 2012, has been pushing for an opioid tax in Delaware, which did not increase funding for addiction treatment last year as it struggles to balance its budget.

“When you think about the fact that each year more people are dying, if you leave the money the same, you’re not keeping up with this public health crisis,” he said.

Humes, a board member of the advocacy group AtTAck Addiction, supports legislation that would dedicate opioid tax revenue for addiction services.

The lead sponsor of an opioids tax bill, state Sen. Stephanie Hansen, said drug companies told her they already were contributing $500,000 to anti-addiction measures in Delaware, where there were 282 fatal overdoses from all drugs in 2016, a 40 percent increase from the year before.

“My response is, ‘That’s wonderful, but we’re not stopping there,’ ” said Hansen, a Democrat.

She said if her tax measure had been in place last year, it would have raised more than $9 million.

Drug companies have a history of digging in to defeat measures intended to combat the opioid crisis. A 2016 investigation by the Associated Press and the Center for Public Integrity found makers of opioids and their allies spent $880 million on politics and lobbying from 2006 through 2015.