To identify the value of \( k \) in the context of function transformations between the original ordered pair \( (8,2) \) and the transformed ordered pair \( (2,2) \), we need to determine how the x-coordinates of the points are related.
In general, a transformation of the form \( (x, y) \) to \( (k \cdot x, y) \) scales the x-coordinate by a factor of \( k \).
Given the original pair:
- \( (8,2) \)
And the transformed pair:
- \( (2,2) \)
We want to find \( k \) such that:
\[ k \cdot 8 = 2 \]
To solve for \( k \):
\[ k = \frac{2}{8} = \frac{1}{4} \]
Thus, the value of \( k \) is \( \frac{1}{4} \).
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