To fill in the missing values in the table based on the proportional relationship between the number of tables and chairs, we can identify the pattern from the values that are already provided.
From the information given:
- For 1 table, there are 6 chairs.
- For 2 tables, 18 chairs are provided.
- For 4 tables, there are 24 chairs.
- For 5 tables, the number of chairs is missing.
- The last entry shows a value for 6 tables with 36 chairs.
We can see that the number of chairs increases proportionally as the number of tables increases. To find the proportionality constant, we can look at the given values:
- For 1 table (6 chairs): Ratio = \( \frac{6}{1} = 6 \)
- For 2 tables (18 chairs): Ratio = \( \frac{18}{2} = 9 \)
- For 4 tables (24 chairs): Ratio = \( \frac{24}{4} = 6 \)
- For 6 tables (36 chairs): Ratio = \( \frac{36}{6} = 6 \)
It looks like there's a consistent number of chairs per table, taking 6 chairs per table as the consistent value.
Using this information, we can fill in the missing values:
- For 2 tables: \( 2 \times 6 = 12 \)
- For 5 tables: \( 5 \times 6 = 30 \)
Now, the completed table with the number of chairs based on the number of tables becomes:
| Tables | Chairs | |--------|--------| | 1 | 6 | | 2 | 12 | | 4 | 24 | | 5 | 30 | | 6 | 36 |
So, the missing values are:
- For 2 tables: 12 chairs
- For 5 tables: 30 chairs