Question

Question

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