Yes we can encourage local businesses to accept btc, and before that you should be able to orient the one who managed or owns the business. You will be explaining the to him or her the importance and advantages of bitcoin to the market today and its impact if they adopt it with selling their goods. So first of all you should make the owners of the local business to learn a lot of strategy on how they will earn good profit through bitcoin if they used this as a mode of payment although bitcoin price is fluctuating and not stable, there maybe times of peak price so that thing should be learned by those business holders.
I think in explaining it to a newbie, we should make it short but brief, and just let them explore bitcoin by themselves...As much as possible we should not sugarcoat what we are saying about bitcoin,t should be something realistic...
When we are talking about the price fluctuation, I think we should show some chart to them, so they know, and see what is their impression about the price... But we should not force them to accept bitcoin, it is not their obligation to accept bitcoin and its their choice whether they will try it or not...