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

To solve the problem, we first establish the proportional relationship between the number of tables and chairs. We can find the ratio of chairs to tables using the values provided.

From the first row:
- 1 table corresponds to 6 chairs.

This gives us the ratio of chairs to tables as follows:
- For every 1 table, there are 6 chairs (1:6).

Using this ratio, we can fill in the missing values in the table:

1. For 2 tables:
\[
\text{Chairs} = 2 \times 6 = 12
\]

2. For 3 tables (since there is a row for 18 chairs):
\[
\text{Chairs} = 3 \times 6 = 18
\]
Thus, it confirms that 3 tables correspond to 18 chairs.

3. For 5 tables:
\[
\text{Chairs} = 5 \times 6 = 30
\]

Now, let's summarize the filled-in table:

| Tables | Chairs |
|--------|--------|
| 1 | 6 |
| 2 | 12 |
| 3 | 18 |
| 4 | 24 |
| 5 | 30 |
| 6 | 36 |

So, the completed table is:
- For 2 tables: 12 chairs
- For 3 tables: 18 chairs (already provided)
- For 5 tables: 30 chairs.