Question

Will give medal for right answer!!

y varies inversely with x and y = 8 when x = 2.

What is the inverse variation equation for the relationship?

Answer 1

`y varies inversely with x`
\[\Large\bf\sf y=\frac{1}{x}\]This relationship shows that when we have a y value, x is the multiplicative inverse of y. (Reciprocal).

But we also need a constant of variation.\[\Large\bf\sf y=\frac{k}{x}\]

Answer 2

So they gave us some information to work with.
y=8 when x=2.

We'll plug in this relationship to solve for our constant k.

Answer 3

Understand how to plug them in ? :O

Answer 4

so 8=k/2 ??? @zepdrix

Answer 5

Mmmm k good!
So k = ?

Answer 6

16? @zepdrix

Answer 7

Mmm good!
Plug that back in your expression with the x and y and you have your answer.

Answer 8

Wait 16 isn't the answer? im confused now /: @zepdrix

Answer 9

Here is the relationship we have, and here is what you found out about k.
\[\Large\bf\sf y=\frac{\color{royalblue}{k}}{x}, \qquad\qquad\qquad \color{royalblue}{k=16}\]

Answer 10

Plug it in!! :O Plug in the blue!

Answer 11

8= 16/2 ?? @zepdrix

Answer 12

Ok you have the right idea, but you no longer want the x=2, y=8 plugged in.
Only the k.

That gives us our relationship for x and y.\[\Large\bf\sf y=\frac{\color{royalblue}{16}}{x}\]