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(a)
The graph of the system of linear inequalities that represents the situation.
(a)
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Answer to Problem 30E
Explanation of Solution
Given information:
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 also teach to earn at least $120 per week. but you do not want to work more than 20 hours per week.
Formula used:
Substitution method is used.
Calculation:
Let:
Set up the inequalities:
Working time no more than 20 hours
Earnings of at least $120
Required to work at least 8 hours at the grocery store
Restrict the graph to positive x & y values since negative values do not make sense in this real-life context.
Graph the equations:
The solution is the intersection:
Conclusion:
Restrict the graph to positive x & y values since negative values do not make sense in this real-life context.
(b)
the solution of the system.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 30E
Hours working at the grocery store & 4 hours teaching music lessons
Explanation of Solution
Given information:
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 also teach to earn at least $120 per week. but you do not want to work more than 20 hours per week.
Formula used:
Substitution method is used
Calculation:
Conclusion:
Hours working at the grocery store & 4 hours teaching music lessons
(c)
To work 8 hours in grocery store to teach 1 hour music lesson.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 30E
The point (8, 1) is NOT on the shaded region.
Explanation of Solution
Given information:
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 also teach to earn at least $120 per week. but you do not want to work more than 20 hours per week.
Formula used:
Substitution method is used
Calculation:
No, because point (8, 1) is NOT on the shaded region.
Conclusion:
No, because point (8, 1) is NOT on the shaded region.
Chapter 5 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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