Question

Rachel is planning a birthday party. The relationship between number of tables and number of chairs is proportional. Fill in the table with the missing values.(3 points)
Tables Chairs
1 6
2

18
4 24
5
6 36

Answer 1

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:

- For 2 tables:
\[
\text{Chairs} = 2 \text{ tables} \times 6 \frac{\text{chairs}}{\text{table}} = 12 \text{ chairs}
\]

- 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