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The table you provided lists the following values for \( x \) and \( y \):

\[
\begin{array}{|c|c|c|c|c|}
\hline
x & 14 & 24 & 34 & 44 \\
\hline
y & 24 & 20 & 16 & 12 \\
\hline
\end{array}
\]

We can observe that as \( x \) increases, \( y \) decreases. This suggests an inverse or linear relationship between \( x \) and \( y \).

Would you like me to:

1. Find the equation that relates \( x \) and \( y \)?
2. Determine the rate of change between \( x \) and \( y \)?
3. Discuss the type of relationship between \( x \) and \( y \) (e.g., linear)?
4. Use this data to predict future values of \( y \) for other \( x \)-values?
5. Find the correlation between the two variables?

**Tip:** When identifying relationships between variables, it's helpful to plot the data or analyze the differences between consecutive terms.

Given the values for x and y, determine the relationship between x and y.

Explore the relationship between x and y using linear and inverse relationship concepts. Determine the rate of change between x and y with a detailed analysis, suitable for students in Grades 8-10.

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