If the rate of adoption reaches critical mass and goes exponential and becomes widespread...
Adoption does not mean that people will store their life savings in bitcoin. It may simply mean that they use bitcoin financial services to conduct transactions when necessary, thus increasing the demand for money in circulation and thus increase the implied price.
Edit: Currently btc are being hoarded and fiat is being spent. This is an important dynamic to understand.
Probably an outcome of Gresham's law.