I don't have kids but I do have 4 nephews. They all take their bikes or if not possible for whatever reason, buses/trains/trams/metro to school and elsewhere. My 1 sister lives in the countryside and her kids still take the bike to school, which is ~10km away from their house, and if they go to another city they can take their bikes on the train.

Why wouldn't you want your kid to be independent like this? Why force them to have to rely on you and your car if they want to go out and see their friends? It inconveniences you and makes their life much more dull and restricted, not to mention the health benefits of taking the bike vs sitting in a car for a kid.