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Math-10/31/2022 X eogebra.org/classroom/nge9drvq X Ora GeoGebra - Dynamic X Task 1: A) What are 3 possible combinations of 2-seat tables and 4-seat tables that will seat 140 customers. Aa It 2x+4y=140 4y=-2x+140 Type here to search ABC 3.14 Using Linear Relations to Solve Problems Question 1 The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 140. Task 2: B) Write an equation to represent this situation. Let x represent the number of 2 person tables and y represent the number of 4 person tables. Aa T Type your answer here... 80 70 Task 3: C) Create a graph to represent the situation. Be sure to label the axis and connect the points with a line segment. 60 GeoGebra Classroom X 50 GeoGebra Follower - X 40 BI 1 Form X be S C Clever | Portal 65°F Clear X + 8:20 PM 10/31/2022

Math-10/31/2022 X eogebra.org/classroom/nge9drvq X Ora GeoGebra - Dynamic X Task 1: A) What are 3 possible combinations of 2-seat tables and 4-seat tables that will seat 140 customers. Aa It 2x+4y=140 4y=-2x+140 Type here to search ABC 3.14 Using Linear Relations to Solve Problems Question 1 The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 140. Task 2: B) Write an equation to represent this situation. Let x represent the number of 2 person tables and y represent the number of 4 person tables. Aa T Type your answer here... 80 70 Task 3: C) Create a graph to represent the situation. Be sure to label the axis and connect the points with a line segment. 60 GeoGebra Classroom X 50 GeoGebra Follower - X 40 BI 1 Form X be S C Clever | Portal 65°F Clear X + 8:20 PM 10/31/2022

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**3.14 Using Linear Relations to Solve Problems** **Question 1** The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 140. **Task 1: A)** What are 3 possible combinations of 2-seat tables and 4-seat tables that will seat 140 customers? - Equation: \(2x + 4y = 140\) - Simplified: \(4y = 2x + 140\) **Task 2: B)** Write an equation to represent the answer. Let \(x\) represent the number of 2-person tables and \(y\) represent the number of 4-person tables. **Task 3: C)** Create a graph to represent the situation. Be sure to label the axis and connect the points with a line segment. **Graph Explanation:** - The graph will have two axes, with \(x\) (number of 2-person tables) on the horizontal axis and \(y\) (number of 4-person tables) on the vertical axis. - The line representing the equation will be plotted based on various combinations that satisfy the equation \(2x + 4y = 140\). - The points on the line are combinations of tables that total to 140 seats.
Transcribed Image Text:**3.14 Using Linear Relations to Solve Problems** **Question 1** The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 140. **Task 1: A)** What are 3 possible combinations of 2-seat tables and 4-seat tables that will seat 140 customers? - Equation: \(2x + 4y = 140\) - Simplified: \(4y = 2x + 140\) **Task 2: B)** Write an equation to represent the answer. Let \(x\) represent the number of 2-person tables and \(y\) represent the number of 4-person tables. **Task 3: C)** Create a graph to represent the situation. Be sure to label the axis and connect the points with a line segment. **Graph Explanation:** - The graph will have two axes, with \(x\) (number of 2-person tables) on the horizontal axis and \(y\) (number of 4-person tables) on the vertical axis. - The line representing the equation will be plotted based on various combinations that satisfy the equation \(2x + 4y = 140\). - The points on the line are combinations of tables that total to 140 seats.
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