SOLUTION: edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a job that pay $8 an hour as a library assistant working y hours a week. She will w

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Question 974412: edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a job that pay $8 an hour as a library assistant working y hours a week. She will work both jobs. She is able to work no more than 15 hours a week, due to school commitments. Edith wants to earn at least $80 a week working a combination of both jobs.
1) Write a system of inequalities that can be used to represent the situation.
2) Graph these inequalities o the set of axes below (then there's a graph)
3) Determine and state one combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 hours.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
edith babysits for x hours a week after school at a job that pays $4 an hour.
She has accepted a job that pay $8 an hour as a library assistant working y hours a week.
She will work both jobs. She is able to work no more than 15 hours a week, due to school commitments. Edith wants to earn at least $80 a week working a combination of both jobs.
1) Write a system of inequalities that can be used to represent the situation.
Quantity Eq:: S + L <= 15 hours
Value Eq:::: 4S +8L >= 80
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2) Graph these inequalities o the set of axes below (then there's a graph)

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3) Determine and state one combination of hours that will allow Edith to earn at least $80 per week while working no more than 15 hours.
Ans: School = 4 ; Library = 10
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Cheers,
Stan H.
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