Question

Question
If y varies directly as w and y = 8, when w =
2
find the equation that relates v and w.
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Answer 1

Given parameters:

     y varies directly as w;

   This interpreted implies that as y increases, we increases by a certain factor or amount;

    So,  y ∝  w

           y  = kw

   where k is the constant of proportionality

Now, given that y  = 8 and w = 2

Input in the equation to solve for k;

               8 = k x 2

     Solving k gives, k = 4

Now to the second part,

          if v is directly proportional to w;

                v  = k w

        So   v  = 4w

The equation that relates v to w is v = 4w