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 fill in the missing values in the table, we need to identify the proportional relationship between the number of tables and chairs. We can use the provided values to find a constant ratio.

From the given data:

- For 1 table, there are 6 chairs.
- For 4 tables, there are 24 chairs.
- For 6 tables, there are 36 chairs.

Let's determine the ratio of chairs to tables:

1. From the first row:
\( \frac{\text{Chairs}}{\text{Tables}} = \frac{6}{1} = 6 \)

2. From the fourth row:
\( \frac{\text{Chairs}}{\text{Tables}} = \frac{24}{4} = 6 \)

3. From the sixth row:
\( \frac{\text{Chairs}}{\text{Tables}} = \frac{36}{6} = 6 \)

The constant ratio is 6 chairs for every table.

Now we can fill in the missing values:

For 2 tables:
\[ \text{Chairs} = 2 \times 6 = 12 \]
So, in the second row, the number of chairs is 12.

For 5 tables:
\[ \text{Chairs} = 5 \times 6 = 30 \]
So, in the fifth row, the number of chairs is 30.

Putting it all together, the completed table looks like this:

\[
\begin{array}{|c|c|}
\hline
\text{Tables} & \text{Chairs} \\
\hline
1 & 6 \\
2 & 12 \\
4 & 24 \\
5 & 30 \\
6 & 36 \\
\hline
\end{array}
\]