I probably bike around 2.5km a day as well. I live in the Netherlands, and I don't even own a car. My bike gets me to most of my regular and daily destinations faster than a car would. Partially because I can take faster routes as a cyclists, and partially because in a car I would have to wait for traffic lights more often and be stuck in busy traffic during peak hours.

The only reason why I would use a car, is to get to family that lives further away. But even that stays within 50km. So the dutch public transport system fully satisfies that need for me as well.