Question

If v varies inversely with w, and v=6 when w=1/2, find the equation that relates v and w.

Answer 1

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Answer:

  v = 3/w

Step-by-step explanation:

"V varies inversely with w" means v is proportional to 1/w (the inverse of w). The usual equation for proportionality applies.

  y = kx . . . . y is proportional to x

  v = k(1/w) . . . . v is proportional to the inverse of w (varies inversely with w)

If you multiply this equation by w, you get ...

 vw = k

Using the given values, ...

  (6)(1/2) = k = 3

Then the desired equation is ...

  v = 3/w