The relationship between the number of tables and the number of chairs is proportional, meaning that the number of chairs is a constant multiple of the number of tables.
From the provided values:
- For 1 table, there are 6 chairs. This means the ratio is: \[ \text{Ratio} = \frac{6 \text{ chairs}}{1 \text{ table}} = 6 \]
Using this ratio, we can calculate the missing values:
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For 2 tables: \[ \text{Chairs} = 2 \text{ tables} \times 6 \frac{\text{chairs}}{\text{table}} = 12 \text{ chairs} \]
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For 5 tables: \[ \text{Chairs} = 5 \text{ tables} \times 6 \frac{\text{chairs}}{\text{table}} = 30 \text{ chairs} \]
Now, we can fill in the missing values in the table:
| Tables | Chairs | |--------|--------| | 1 | 6 | | 2 | 12 | | 4 | 24 | | 5 | 30 | | 6 | 36 |
So, the completed table will look like this:
- For 2 Tables: 12 Chairs
- For 5 Tables: 30 Chairs
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