Question

Identify the constant of proportionality in the table below.



x

y

2

8

4

16

6

24

Answer 1

To identify the constant of proportionality in the table, we need to find the ratio of \( y \) to \( x \) for the given values. The constant of proportionality \( k \) is defined as:

\[
k = \frac{y}{x}
\]

Let's calculate \( k \) for each pair in the table.

1. For \( x = 2 \) and \( y = 8 \):
\[
k = \frac{8}{2} = 4
\]

2. For \( x = 4 \) and \( y = 16 \):
\[
k = \frac{16}{4} = 4
\]

3. For \( x = 6 \) and \( y = 24 \):
\[
k = \frac{24}{6} = 4
\]

In each case, the constant of proportionality \( k \) is 4. Therefore, the constant of proportionality in the table is **4**.