SOLUTION: I need to know if I'm setting this word problem up right before I can use the equations to graph it. This is the assignment we had to create a real world scenario using a cost comp

Question 762494: I need to know if I'm setting this word problem up right before I can use the equations to graph it. This is the assignment we had to create a real world scenario using a cost comparison. Mine is,Lauren needs to find the best option for daycare for her two year old daughter to fit her budget because she works 45hrs. a week. Option 1 is a in home child care which charges a flat rate of $5 per hour for each kid. Option 2, is a daycare center and they charge a fixed rate of $100 a week and $5 for any additional hours after 45hrs. Which option would be most advantageous for Lauren if she is paying weekly or monthly.
This what I got:
Let y = total cost for childcare per week
Let x = price
Option1-
y=x(45)
y=$5(45)
y=$225 per week
$225(4)=$900 month
Option2-
y=x
y=$100 per week
$100(4)=$400 a month
If I did it correct option two would be the best option2 right?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In option #2 your equation does not include the additional
cost for the hours beyond 45.
-----
Of course she is not paying for more than 45 hours so
why do you even mention that part of the option?
====================
Cheers,
Stan H.
====================
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Your set up and conclusions are just right. The only thing I would change is your Week-to-Month conversion factor. On average there are 4 and 1/3 weeks in a month. Divide 52 by 12 and see what I mean.

So, instead of 900 per month for option A, it would be 975, and instead of 400 per month for option B it would be $433.33. Same conclusion though.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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