In a week how much does a tattoo artist make?

That totally depends on the area. It's not a great idea to open a tattoo shop

in a small rural town your best option would be in a good sized city for customer base.

Now when you run a shop in a large city though it's much more expensive,but it is cheaper to run one in a smaller community. So the real answer is it varies where ever your located at and how much you charge per tattoo. Its not a job you can just charge by the hour it just doesn't work like that. Some months you may make two thousands dollars and then the next you make three hundred so like i said before it varies.