They’re offering $1 per day? That’s $1 for every 24 hours you go back, which is around $0.04 per hour, which can be broken down even further to around $0.0007 per minute.
I’d give them 1 penny to go back 15 minutes in time, find a penny on the ground, then find them again to go back the same 15 minutes in time over and over until I can figure out how to kidnap them in 15 minutes.
After I successfully kidnap them, I will go on a bank heist and keep the time person near me so I can keep trying to rob a bank until I do so successfully. Then because they’re an accessory to the crime, I can blackmail them to let me rewind time for free at any time I wish so I can become a crime lord, otherwise I’ll give them to the police and let them know he can time-travel.
EDIT: Just saw OP’s one-time offer clause, so I am assuming this means the time person retains their memory.
I won’t immediately take them up on their offer - instead, I would take them out on a date or five first. Get to know them a bit better; where they lived growing up, how they grew up, how old they are - that kind of stuff.
Then I would figure out how much money I can use to go back in time to my youngest point of life that also meets their youngest point in my same lifetime, and I’ll track them down from all the details they gave me while they were pegging me. I’ll become best friends with them, and convince them that we could be using their powers to become the dopest crime lords in history.