We are given a table with values for $x$ and $y$. We need to determine if the relationship between $x$ and $y$ is proportional. The table contains the following pairs: $(8, 11.1)$, $(9, 11.2)$, and $(10, 11.3)$.

1. Problem Description

We are given a table with values for $x$ and $y$. We need to determine if the relationship between $x$ and $y$ is proportional. The table contains the following pairs: $(8, 11.1)$, $(9, 11.2)$, and $(10, 11.3)$.

2. Solution Steps

A proportional relationship exists if $y = kx$ for some constant $k$. This means that the ratio $y/x$ must be the same for all pairs of $x$ and $y$. Let's calculate the ratio $y/x$ for each pair.

For the first pair $(8, 11.1)$:

$y/x = 11.1/8 = 1.3875$

For the second pair $(9, 11.2)$:

$y/x = 11.2/9 \approx 1.2444$

For the third pair $(10, 11.3)$:

$y/x = 11.3/10 = 1.13$

Since the ratios $y/x$ are not the same for all pairs, the relationship is not proportional.

3. Final Answer

Non-Proportional