Wage reporting when hours change weekly

My hours change every week at my new part-time job and I am afraid of reporting wrongly. This is my first time dealing with any of this. Sometimes my paycheck is late by a week. Do you report when you earned it or when you were paid?

Thanks for writing this out. I went through something close to it 13 months ago, and it settled down once I kept a simple log of every call and form.