Question

question 4
x | y
2 | 28
6 | 84
9 | 126
11 | 154
find the constant of proportionality.
1/14
14
59
28

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship \( y = kx \), the constant of proportionality \( k \) is given by \( k=\frac{y}{x} \).

Step2: Calculate \( k \) using the first pair of values

Using \( x = 2 \) and \( y = 28 \), we substitute into the formula: \( k=\frac{28}{2}=14 \).

Step3: Verify with other pairs (optional but good practice)

• For \( x = 6 \) and \( y = 84 \): \( k=\frac{84}{6}=14 \).
• For \( x = 9 \) and \( y = 126 \): \( k=\frac{126}{9}=14 \).
• For \( x = 11 \) and \( y = 154 \): \( k=\frac{154}{11}=14 \).

All pairs give the same \( k \), so the constant of proportionality is consistent.

Answer:

14