How to solve algebra questions

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Question description

I need help with an algebra equation. Here is the set up.

A father is looking for the best option for daycare for his 5 year old son. A home-based option (Option A) charges a flat rate per hour of \$15. A center-based option (option B) charges a fixed fee per week of \$150 for 40 hours and \$10 an hour for any hour over the 40. What is the best option for the father? The father works 50 hours a week from his office which is located in his home.

x = number of hours
y = total child care cost
Option A: (A)y = 15x
Option B1: (B1)y= 150 10 (x-40)

My paper got sent back because it said I need an additional equation for Option B that represents less than 40 hours of daycare is needed to complete the assessment.

This is what I came up with.
Option B2: (B2)y=150 10x, x≥40 hours – day care with less than 40
Is this right?????? But I am not sure how to solve this.

If that is right I need to show when option A and option B2 will be equal. How do I do that? I also need to be able to graph it so I will need an ordered pair.

(Top Tutor) Daniel C.
(997)
School: New York University
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