Question - Proportional Relationship Calculation
mathconstant of proportionalityproportional relationship calculationdirect variationdividing variables
Solution:
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 $$ 5 $$.
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