SOLUTION: You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for 15$ per ho

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for 15$ per ho      Log On


   



Question 1065579: You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for 15$ per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week.
A. Write a system of linear inequalities that represent the situation.
B. identity and interpret a solution of the system.
C. Use a graph to determine whether you can work 8 hours at the grocery store and teach 1 hour of music lessons.
THANK YOU!!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the hours you work at the store, Y the hours you teach lessons,P is your weekly pay.
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Hours at the store,
X%3E=8
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Total hours,
X%2BY%3C=20
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Pay requirement,
P=10X%2B15Y
10X%2B15Y%3E=120
2X%2B3Y%3E=24
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Plot all three to find the acceptable region.
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Here it is marked with the red hash,
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As you can see 8 hours at the store and 1 hour teaching lessons is outside of your solution region so it will not work to satisfy all of your conditions.