Question

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

Answer 1

Any ideas?

Answer 2

Remember that the equation for inverse variation is \(k = xy\).

Answer 3

\[\large y \alpha \dfrac{1}{x}\]

Answer 4

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

Answer 5

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

Answer 6

Do you know these general forms of an inverse relation?

Answer 7

\[k = yx\]Here, we can plug the values \(y = 6\) and \(x = 8\). What do you think?

Answer 8

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

Answer 9

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.

Answer 10

So the general equation for my example is \(k = 24\)

Answer 11

Use my example?

Answer 12

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 -.-

Answer 13

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

Answer 14

y = 48/x ?

Answer 15

Yay! That's it! :-)

Answer 16

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