759 Words4 Pages

A:
A single father who works an average of 30 to 40 hours per week with varying days and times is, in need of daycare for his two year old child. The father’s workday never begins before 7:30 am but can end any time between 4:30 and 6:00 pm. He has narrowed his choices own to two options. The first option is an in-home daycare provider who charges a flat rate of $7.00 per hour. She is able to provide care from 7 am to 6:30 pm. The second option is a day-care facility that charges $270.00 per week for up to 40 hours of care. The center charges $10.00 per hour if the 40 hours are exceeded and is open from 7:00 am to 8:00 pm. The in home provider is 30 minutes from where the parent works, but close to where they live. The center is located just 5 minutes from the workplace and 45 minutes from home. Help the father choose the best option for his needs and justify your suggestion.
B:
In home option: Weekly total cost of care = the number of hours times $7.00 per hour of care
Let x be the number of hours of care the child receives per week.
Let h represent the cost of care for the in home option. The equation to represent the cost at the in home center would be… h = 7x
Center option: Two Different costs…
From any part of an hour to 40 hours, the weekly total cost of care is equal to $270.00.
Let c be the total cost for the center option. The equation to represent the cost for up to 40 hours of care at the center is: c = 270
Over 40 hours, the weekly total cost of care is equal to 270 dollars plus the extra number of hours times 10 dollars per hour.
Let y be the total cost per week at the center when care exceeds 40 hours per week.
Let x be the number of total hours. The equation which represents the cost per week for over 40 hours of care: h = 10(x-40) + 270
Hours | Cost | | Hours | Cost | 1 | 7 | | 1 | 270 | 2 | 14 | | 2 | 270 | 3

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