9514 1404 393
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
