Question

y varies inversely as twice x. When x = 3, y = 8. Find y when x = 2.

Answer 1

when something "varies inversely" to something
means it has a relationship to the inverse of that something
inverse of something is 1/something

Answer 2

so "y" varies inversely to "x" would be
y = "n"/x
"y" varies inversely to "x" would be
y = "n"/2x

now we don't know what the "n" value is
but we know that when -> When x = 3, y = 8
so
\(\bf y = \cfrac{n}{2x}\\
\text{When x = 3, y = 8 }\\
8 = \cfrac{n}{2(3)}\)

then just solve for "n" to find "n" :)

once you get "n", the plug it in and, when x=2
\(\bf y = \cfrac{n}{2(2)}\)

Answer 3

"y" varies inversely to "2x" would be
y = "n"/2x

I meant :/
so much for my pasting hehe