To find the constant of proportionality for the given x and y values, we need to check the ratio of y to x for each pair in the table.
The pairs are:
- \( (11, 44) \)
- \( (13, 52) \)
- \( (14, 56) \)
Now, we can calculate the ratios:
-
For \( x = 11 \) and \( y = 44 \): \[ \frac{y}{x} = \frac{44}{11} = 4 \]
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For \( x = 13 \) and \( y = 52 \): \[ \frac{y}{x} = \frac{52}{13} = 4 \]
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For \( x = 14 \) and \( y = 56 \): \[ \frac{y}{x} = \frac{56}{14} = 4 \]
In all cases, the ratio \( \frac{y}{x} \) is equal to 4. Therefore, the constant of proportionality for the proportional relationship represented in the table is \( 4 \).