As far as I'm aware everyone (except people intentionally spreading disinformation) is talking about phasing in the increase until it reaches $15 in 2025.My data is common sense and personal experience running a business.
A graduated rise(as Bernie has championed) would allow small businesses, most of which run small profit margins and who's cost structures are built around certain payroll expenses, to adjust their business model to adapt to $15/hr minimum wage. In some places, an immediate hike isn't a large issue because they were already in that range. Across the south, that's a big deal because you've effectively doubled the minimum wage without any time to adapt.
This thought that the majority of businesses can just "afford" things isn't based in reality. Most of them are just mom and pop outfits that allow people to pay their bills. Larger businesses with cash reserves, high profit margins, and a healthy bottom line will be much more willing to go the new wage immediately. They'd like for it to happen because they know the businesses that can't afford it will either:
1. Go out of business
2. Reduce staffing
3. Receive bad publicity
All leading to more revenue for them.
I'm not against going to $15/hr. I'm against this thought that all businesses will just cope with the increase and keep people employed through if they were hit with something like that right now.
Then I hear people say "Only the businesses that can afford to pay $15/hr right now should be allowed to stay in business". You don't want that. At all.
And there's no need to use common sense or anecdotes because there is plenty of data regarding wage increases and it's effect on employment.
CBO recently released a study claiming that the increase would result in a loss of 1.4 million jobs while helping 900,000 people get out of poverty. And Washington Post had an article disputing CBO's claims about job losses, saying they found that only around 500,000 jobs would be lost (I'll find the link later).