## phury 2 years ago suppose that y varies inversely with x, and y = 6 when x = 8. what is an equation for the inverse variation?

1. skullpatrol

Any ideas?

2. ParthKohli

Remember that the equation for inverse variation is $$k = xy$$.

3. AravindG

$\large y \alpha \dfrac{1}{x}$

4. ParthKohli

Or, equivalently, it can be expressed as$y = \dfrac{k}{x}$

5. ParthKohli

@AravindG use \propto instead of \alpha ;-)

6. skullpatrol

Do you know these general forms of an inverse relation?

7. ParthKohli

$k = yx$Here, we can plug the values $$y = 6$$ and $$x = 8$$. What do you think?

8. phury

woah o.o i was doing something else. K=6(8)

9. ParthKohli

I'd give you an example. There's an inverse relation and when $$y = 4$$, $$x = 6$$. The general equation would be $$k = yx$$. find out $$k$$, the product of all $$y$$s and the corresponding $$x$$'s.

10. ParthKohli

So the general equation for my example is $$k = 24$$

11. ParthKohli

Use my example?

12. phury

i wish i had time to learnt his but i dont. 20 questions to go and i have to turn this in at @ 2. its 1:22 now -.-

13. ParthKohli

It's very easy. What's the product of the $$x$$ and $$y$$ you're given?

14. phury

y = 48/x ?

15. ParthKohli

Yay! That's it! :-)

16. phury

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