Chairs Interactive Activity
After clicking on the link below select the following settings:
Mode: Exploration
Table: 4 Chairs
Arrangement: Straight line
Select the Increase/Decrease buttons and observe the length of the table.
Using your notes, fill in the following charts and answer the questions.
Decrease the length of the table to 1, increase according to the chart. Click on the blanks to reveal the answers.
| Length of Table | Number of Chairs |
| 1 | Interactive button. Assistance may be required. _____ 4 |
| 2 | Interactive button. Assistance may be required. _____ 6 |
| 3 | Interactive button. Assistance may be required. _____ 10 |
| 4 | Interactive button. Assistance may be required. _____ 10 |
| 5 | Interactive button. Assistance may be required. _____ 12 |
| 10 | Interactive button. Assistance may be required. _____ 22 |
| 20 | Interactive button. Assistance may be required. _____ 42 |
For a table with four chairs, how many chairs would be needed if the length was increased to 15?
Interactive popup. Assistance may be required. 15(2) + 2 = 32 chairs
How many more chairs would be needed if the length was increased to 25?
Interactive popup. Assistance may be required. 25(2) + 2 = 52 → 52 – 32 = 20 more chairs would be needed.
What would the length of the table need to be in order to have 50 chairs?
Interactive popup. Assistance may be required. 24
Change the Table setting to 6 chairs, and then record the information in the table.Click on the blanks to reveal the answers.
| Length of Table | Number of Chairs |
| 1 | Interactive button. Assistance may be required. _____ 6 |
| 2 | Interactive button. Assistance may be required. _____ 10 |
| 3 | Interactive button. Assistance may be required. _____ 14 |
| 4 | Interactive button. Assistance may be required. _____ 18 |
| 5 | Interactive button. Assistance may be required. _____ 22 |
| 10 | Interactive button. Assistance may be required. _____ 42 |
| 20 | Interactive button. Assistance may be required. _____ 82 |
For a table with six chairs, how many chairs would be needed if the length of the table was increased to 13?
Interactive popup. Assistance may be required. 13 * 4 + 2 = 52 + 2 = 54 chairs
How many more chairs would be needed if the length was increased to 23?
Interactive popup. Assistance may be required. 23 * 4 + 2 = 94 → 94 – 54 = 40 more chairs
What would the length of the table need to be in order to have 62 chairs?
Interactive popup. Assistance may be required. 15
Use both charts to answer the following:
A banquet room is rented for the drill team dinner. Since the room is long and narrow only tables with a width of one can be used. If the cost of renting a four chair table is $20 per table and the cost of renting a six chair table is $30 per table, which would be cheaper for the 30 drill team members? Why?
Interactive popup. Assistance may be required.4-chair table: 14 * 2 + 2 = 30; 14 tables * $20 = $280
6-chair table: 7 * 4 + 2 = 30; 7 tables * $30 = $210
The 6-chair table is cheaper to rent by $70
If there was a discount for using the four chair tables making them only $15 each would it be cheaper to rent these instead of the six chair tables for 30 drill team members? Why or why not?
Interactive popup. Assistance may be required. The cost would be the same. (discounted cost of 4-chair table: 414 * $15 = $210)