This last picture taken of a charging Model 3 reveals that the Model 3 in fact is supercharging at ~70kW, but more interestingly the ~36% battery charge could mean 95 miles of range, so the large battery pack of the Model 3 (75kWh) could offer 300 miles of range.
If we compare these values to the Chevy Bolt EV, which can travel 230+ miles with its 60kWh battery pack, it seems perfectly plausible that a less aggressive driver will have 300+ mile range on the Tesla Model 3.
We also know that in the first few months of production the only available battery pack for the Model 3 will be the biggest one, 75kWh, which will add a couple of thousand dollars to the 35.000 USD base price. In my opinion most buyers will not even consider the smaller battery pack, even if it will offer about 240 miles of range, EPA. This extra couple of thousand dollars will practically guarantee that your Model 3 will have a 200+ mile range even after 10-20 years of use, while with the cheaper battery pack the range may drop to under 200 miles after 10 years or 250.000 miles traveled.