How Much Should I Charge For BEING A NANNY?

I will be a live out nanny and travel 14 miles there and back mon-fri. From 7:40 am to 5 pm. She is a single mom with an 11 month old baby. She only wants to pay around $130 per week. I know that is well below minimum wage, but wanted to help her out. What is a good negotiation price to charge weekly? Please, anyone who has a live out nanny or been one feel free to answer.