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