Proportional Relationship Calculation
This question seems to involve a direct variation between the two variables \( w \) and \( u \), where \( w = k \cdot u \) for some constant of proportionality, \( k \).
Given that \( w = -2 \) when \( u = 6 \), you can find the constant of proportionality \( k \) by dividing \( w \) by \( u \):
\[ k = \frac{w}{u} = \frac{-2}{6} = -\frac{1}{3} \]
Now that you have \( k \), you can find \( w \) when \( u = -15 \) using the same relationship:
\[ w = k \cdot u = -\frac{1}{3} \cdot -15 = \frac{1}{3} \cdot 15 \]
\[ w = 5 \]
Therefore, when \( u = -15 \), \( w \) would be \( 5 \).
