COLUMBUS, Ohio — According to environmental groups, it takes about a thousand years for a plastic bag to decompose.

• Giant Eagle stores in Cuyahoga County and Bexley will eliminate plastic bags
• They’ll be giving out one reusable bag per customer
• Cuyahoga County Giant Eagle and Market District locations will charge a 10-cent fee per paper bag used

That’s why their days are numbered at Giant Eagle Grocery stores in Cuyahoga County and Bexley.

Starting Wednesday, shoppers will no longer have the option to bag their groceries in plastic.

Instead, they'll be giving out one reusable bag per customer and encouraging shoppers to bring their own. 

In a statement, Giant Eagle said:

"To further strengthen the usage of reusable bags, Cuyahoga County Giant Eagle and Market District locations will charge a 10-cent fee per paper bag used, ensuring that paper bags continue to be available for interested customers."

Those who are eligible for food purchases assistance, like SNAP, won't be charged the fee.

Some shoppers think banning plastic is a good idea.

“I think it’s a good idea because of the landfill… plastic bags are not biodegradable,” said Annie Rawlingson, a Cleveland shopper.

“I think it’s fantastic,” said Carol Friedman, a Cleveland shopper. “I think it’s very good for the environment what they’re doing and I hope that other supermarkets follow as well.”

But not everyone is on board with the ban.

Back in May, Cuyahoga passed a countywide ban on plastic bags, set to take effect in the new year.

It bans all paper and plastic bags that aren't made from 100 percet recyclable material.

But that was met with sharp opposition, with the City of Cleveland opting out of the ban entirely.

Meanwhile, at the Statehouse, the House of Representatives passed a bill that would outlaw these types of bans, saying it was a government overstep.

The Senate has yet to take it up. But Ohio Governor Mike DeWine (R) has expressed that he thinks the decision should be left up to cities —not the Statehouse — to decide.