The problem asks us to determine whether the given table represents a proportional relationship. The table has three rows of data: $(5, 16.5)$, $(11, 36.3)$, and $(12, 37.4)$.

1. Problem Description

The problem asks us to determine whether the given table represents a proportional relationship. The table has three rows of data: $(5, 16.5)$, $(11, 36.3)$, and $(12, 37.4)$.

2. Solution Steps

A relationship is proportional if the ratio between the two variables is constant. We need to check if the ratio of the $y$-value to the $x$-value is the same for all data points. In other words, we need to calculate $y/x$ for each row.

Row 1: $x = 5, y = 16.5$. Then $y/x = 16.5/5 = 3.3$.

Row 2: $x = 11, y = 36.3$. Then $y/x = 36.3/11 = 3.3$.

Row 3: $x = 12, y = 37.4$. Then $y/x = 37.4/12 = 3.11666\dots \approx 3.12$.

Since the ratios are not the same, the relationship is not proportional.

3. Final Answer

Non-Proportional