Earlier quoted context omitted.
Can't imagine this survives napkin scrutiny. A ten mile drive isn't using nearly as much hydrocarbon mass as 10k plastic bags. While most of the plastic hopefully winds up in a landfill, most of the gasoline is water and carbon dioxide by the end. It's tires versus bags. While tires shed, the mass lost in 10min is definitely quite a bit lower than 10k bags or the fraction that escapes the waste pipeline.
30mpg, 10 miles, means two pounds of gasoline, 910grams, knock off or add 100g for ethanol per your preference, a google says about 5grams per bag, so nearly 200 bags. Nowhere close to 10k, but nontrivial. And, this gets reduced and sometimes outright negated if you reuse the bag. Doesn't mean we shouldn't evaluate if plastic shopping bags are the beat choice though. I don't think replacing them with store bought dog…
Though what is often forgotten is the insane amounts of plastic used in farming. Occlusion fabric for weeds, polytunnel skins, silage wrap, etc