No, I think that is way too much.
I am reading this to say $50 per day. If that is not correct and you mean $50 for all 3 days then disregard the note.
If this person was to put him in a fully licensed child care center she would pay less, less money per day for a fully trained, CDA certified, CPR/First aid certified, educated in early childhood development with possibly even a college degree, with years of professional experience teacher. So for a SAHM who is not a licensed facility I would expect to pay about half of what a fully licensed child care center would charge.
For part time care that is over 4 hours they would charge her for a full day but that would still be less than what you're asking for part time care.
In Oklahoma:
http://www.okdhs.org/NR/rdonlyres/2E81F###-###-####-487B-...
She would pay about $15.50 per day for full time care for an infant in a 1 STAR facility or $14.50 for a home child care or $72.50 for a full time place 5 full length days.
For a 1+ STAR facility she would pay $18.25-$21.25, depends on what county it is in and if it's rural or a big city. In a child care home she would pay $17.25-$19.25.
In a 2 STAR rated child care center she would pay $24-$30 and in a child care home it would run $20-$25.75.
For a 3 STAR rated facility, the highest rating in Oklahoma, she would pay $35 for a center and $27.75 in a child care home or $138.75 for full 5 days of full time care, over 50 hours of care.
Full time child care is often over 11 hours per day. The parents drop the child off before work around 7:15 am then don't get off work until 5-5:30. By the time they drive through rush hour traffic it is often nearly 6pm before the kids get picked up. So almost always it's a 11 hour day for those kids.
+++++++++++++++++++++++
Not to be mean but I don't think anyone who is not licensed should get paid more than someone who has "paid their dues" in their career and works hard for minimum wage or just above. I think that since you're not in this field of professional work that you are not due to be paid the same or better than someone who is a professional.
Of course you have a lot to offer this mom and child but $10 per hour is way too much for babysitting.