The costs of flying an airplane isn't proportional to its fuel usage. The faster an aircraft is, the more flights it can perform per day.
The carbon emissions impact of flying a gas-guzzling supersonic aircraft aren't evident either. Of course, more gas is used per trip but fewer planes need to be manufactured. Since there is no supersonic business jet, it could also make sense for some people who used to fly private for the speed and convenience to reconsider as they may get faster to their destination by flying supersonic.