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Splitting a utility bill by person-days is fairer than a flat division when someone was away. Each person's share is their days present divided by the total person-days in the period, so a housemate absent for a week pays proportionately less of the heating and hot water.
Person-day split
my share = bill x my days / total person-days across the household
Not really. Standing charges accrue whether anyone is home, so many households split those evenly and apportion only the usage element by person-days.
If one person works from home with the heating on all day, agree a weighting rather than relying on days present alone.