Situations like that is one of the reason that I chose to give parents three rates to choose from.
Hourly – 4.00/hr
Daily – 30.00/day – 9 hour max – anything over will be charged hourly
Full time – 135.00/week - up to 45 hours per week – anything over will be charged hourly

I don't try to stay full though. If you need or want to stay full, I would charge a full time rate because the child will be there all five days which takes up one of your slots all five days.

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