As the father of a 14 yo son who just got his working papers recently and entered the working world, I have to say that I am glad that there is a minimum wage and it has gone up.
The farm/agri labor that I earned good money at as a kid isn't an option anymore this day and age, what with illegals and the fall of the family farm. That, essentially leaves fast food and retail jobs for kids today that want to work, and those are with large corps, most often, that will only pay what they feel the need.
Sure, $5.25 an hour vs $6.25 doesn't sound like big difference to you guys, and yes, it isn't a living wage, by no means, but to a kid working 20 hours a week it means a lot.
If the marketplace was left to set that wage, it would be lower, for the sake of a little higher profits and/or for slightly reduced prices. I haven't seen McDonald's raise their prices yet, and even if they do, I don't see it hurting their business. For the most part, they sell legalized crack.
My son learned the hard way about taxes with his first paycheck. It was around $140 gross, less regular taxes, and a "yearly, one-time township occupational tax" of $50. When it was all done, he cleared less than $60. He was a little ticked. I told him to "get used to it!"
P.S., yes; my son works at McDonald's for the PA state minimum wage. He worked one week and got a raise as the minimum wage went up. I am proud of him. He is working.
TJR