That was broadband. I had a 1200. :0)
I started with a 300 bps (103) modem in 1980 to support my company mainframe. It was primitive, but much faster than driving 30 miles in the middle of the night to provide technical support. That first modem used the handset with rubber cups on the mike/speaker. Later, I found a 212a (1200 bps) modem at the swap meet. It was an improvement, but had the typical glitches that put the modem into remote digital loopback. That was the first modem on the Xenix machine. When the 2400 bps modems arrived, I purchased one immediately. The 9600 bps external modem followed. Eventually, I moved to an ISDN line around 1996. DSL arrived in 1997. That was good enough until last year when I dumped it for WiMax.
BTW, I did my first TCP/IP over an AX.25 link on 2 meters. Inside my "office", I ran 9600 bps SLIP links between the machine until I could afford ARCNET cards. I had to write the interface drivers to ARCNET as nobody was much interested in running TCP/IP over ARCNET. It was blessed relief when 10 Mbps Ethernet cards reached a price range I could afford...even if it was on coax cable.