The same acts in reverse.
I personally reuse the same bag every time I go shopping until it is damaged. When I walk to my local, I carry the two or three items I bought directly, rather than in a bag. I could afford to buy over a million plastic bags a year, yet I've changed my behaviour to avoid buying them whenever possible.
(In my case, it has nothing to do with being asked, as I invariably use the automated checkout machines. Bags are available for purchase adjacent to these machines, so it's not an availability problem either.)