To state: The system of inequalities and graph the system if there should be at least three times as much regular coffee as decaffeinated coffee for a community breakfast and a total of 10 gallons is sufficient for the breakfast.
The resultant system is:
Given information:
A total of 10 gallons of coffee is sufficient for the breakfast, for community breakfast at least three times as much regular coffee as decaffeinated coffee is needed.
Explanation:
Let’s assume x as the number of gallons of decaffeinated coffee and y as the number of gallons of regular coffee.
A total of 10 gallons is sufficient for the breakfast it means at most 10 gallons coffee is sufficient.
There should be at least three times as much regular coffee as decaffeinated coffee for a community breakfast:
Now consider the system of inequality:
Now graph each inequality in one coordinate:
The overlapping region of the graph shows the solution of the system.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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