Back in the day, before internet connectivity was everywhere, it was common for credit card terminals to operate over 1200-baud dialup. This remained true even after 56K became the state of the modem art. The reason was, you only need to exchange a few hundred bytes to complete a credit card transaction. At 120 characters per second, you could place the call and complete the transaction before a much faster 56K modem could finish its involved hand-shaking process.
Thanks for that interesting info, I never really thought about such computerized transactions back in the day. From what I understand, a number of ATMs are still running on Windows XP.
My first modem was 300 baud, when I got to using a 56k one I marveled at the blazing speed!