SOLUTION: Hi, Here is my word problem: A working parent is looking for child care for their child. Day care A (a home-based option) charges a flat rate of $5 per hour. Day care B (a cente

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hi, Here is my word problem: A working parent is looking for child care for their child. Day care A (a home-based option) charges a flat rate of $5 per hour. Day care B (a cente      Log On


   



Question 727625: Hi, Here is my word problem:
A working parent is looking for child care for their child. Day care A (a home-based option) charges a flat rate of $5 per hour. Day care B (a center based option) charges a fixed rate of $100 per week and $10.00 per hour for any time over 40 hours per week. If the parent works 50 hours per week which option is the best value for the money?
I need The solution of the system of equations in ordered-pair notation.
I also need to graph the equation so could you do an example graph for me with the solution and ordered pair labeled.
Thanks so much!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A working parent is looking for child care for their child. Day care A (a home-based option) charges a flat rate of $5 per hour. Day care B (a center based option) charges a fixed rate of $100 per week and $10.00 per hour for any time over 40 hours per week. If the parent works 50 hours per week which option is the best value for the money?
I need The solution of the system of equations in ordered-pair notation.
----
A(x) = 5x
B(x) = 100 + 10(x-40) for x >= 40
----
A(50) = 5*50 = $250
B(50) = 100 + 10*10 = $200
B is the best option for x = 50.
------------
graph%28400%2C400%2C-10%2C70%2C-10%2C500%2C5x%2C100%2B10%28x-40%29%29
Solution: (60,300)
====================
Cheers,
Stan H.
I also need to graph the equation so could you do an example graph for me with the solution and ordered pair labeled.