IPA Tables Task

Ivy Preparatory Academy is hosting a charity banquet to raise money to build a new gym. The café is going to be filled with square tables. Each side of the table can accommodate only 1 person. (Hint: you may want to use a table to organize your data!)

  1. How many people can sit at one table? Two tables placed end to end? 3 tables? 4 tables? 5 tables? 12 tables?
  2. Write an equation that describes the relationship between the number of tables and the number of people that can sit at the tables. Define each variable and identify which is independent and dependent.
  3. Graph the relationship on the coordinate plane.

Ivy Preparatory Academy is hosting a charity banquet to raise money to build a new gym. The café is going to be filled with rectangular tables. Each short side of the table can accommodate only 1 person. The long sides of the table can accommodate 2 people. (Hint: you may want to use a table to organize your data!)

  1. How many people can sit at one table? Two tables placed end to end (short side to short side)? 3 tables? 4 tables? 5 tables? 12 tables?
  2. Write an equation that describes the relationship between the number of tables and the number of people that can sit at the tables. Define each variable and identify which is independent and dependent.
  3. Graph the relationship on the coordinate plane.
  4. How does the situation change if instead of placing the short ends together, we place the long ends together?
  5. Make a table of values to determine the number of people that can sit at 1 -5 tables if the long ends are placed together.
  6. Write an equation representing this situation. What are the independent and dependent variables ( don’t just write X and Y…explain what they are)
  7. Graph your equation on the coordinate plane.

Extra Credit Weekend Bonus (Worth 20 points towards your next quiz) – Create AND solve your own situation similar to the two situations above. Use a table that is a different shape (triangle, pentagon, etc). Your situation must include an input/output table question, a graphing portion, a portion where the variables are identified and defined, and a portion where an equation that describes your situation is written. Good luck!