A table of x- and y-values is shown.

X, Y
3|12
5|20
7|28
What is the constant of proportionality that relates y to x
A. 1/4
B. 4
C. 1/8
D. 8

1 answer

To find the constant of proportionality that relates \( y \) to \( x \), we can use the formula for proportionality, which states that \( y = kx \) where \( k \) is the constant of proportionality.

We can calculate \( k \) for each pair of \( (x, y) \) values provided in the table:

  1. For \( (3, 12) \): \[ k = \frac{y}{x} = \frac{12}{3} = 4 \]

  2. For \( (5, 20) \): \[ k = \frac{y}{x} = \frac{20}{5} = 4 \]

  3. For \( (7, 28) \): \[ k = \frac{y}{x} = \frac{28}{7} = 4 \]

In all cases, the constant of proportionality \( k \) is 4.

Therefore, the answer is \( \text{B. } 4 \).