Question

If v varies directly as w and v = 8 when w=1/2 find the equation that relate v and w

Answer 1

Answer:

v=16w

Step-by-step explanation:

We are given that v varies directly as w, so

v=k⋅w

for some constant, k.

To determine the value of k, substitute the known values, v=8 when w=1/2, to find that

8=k⋅12

Multiplying by 2 gives k=16, so an equation that relates v and w is

v=16w

Answer 2

Answer:

v=kw. 8=k1/2

Step-by-step explanation:

Okay, so here's the equation. v=kw. Varies directly means if v rises, then w rises. If v decreases, then w will decrease. Let me know if that helps! (In case you need it, k=16.)