To determine the value of \( k \) in the context of function transformation from the ordered pair \( (8, 2) \) to the ordered pair \( (2, 2) \), we first look at what kind of transformation has occurred.
If we assume that the transformation involves scaling (specifically, we might be applying a transformation that involves multiplication by a factor \( k \)), we can write the transformations for each coordinate.
For the x-coordinate: \[ k \cdot 8 = 2 \]
Now, we can solve for \( k \): \[ k = \frac{2}{8} = \frac{1}{4} \]
Thus, the value of \( k \) is \( \frac{1}{4} \).