Which of the following equations represents an inverse variation?

y equals x divided by two

y equals two times x

y equals two divided by x

y equals x squared

Question

Which of the following equations represents an inverse variation?

 y equals x divided by two

 y equals two times x

 y equals two divided by x

 y equals x squared

radar · Answer

Which one would cause y to decrease as x increased?

anonymous · Answer

umm dividing the number by x

radar · Answer

Yes y=2/x   when x = 1 y would be 2    now increase x to 2 then y=2/2 = 1  it is decreasing.  3rd choice is the way to go.

anonymous · Answer

ok so it's y = 2/x  right

radar · Answer

absolutely, as the x get bigger, the y will get smaller ("inverse")

radar · Answer

All the rest as x gets bigger y also get bigger, vice-versa

anonymous · Answer

so u mean switch it around like x/2

radar · Answer

No NO NOO, 2/x is an INVERSE variation which means as x gets bigger y gets smaller or as x gets smaller y gets bigger.
y=x/2 is a DIRECT variation and as x gets bigger y will get bigger, as x gets smaller, y will get smaller.

anonymous · Answer

Oh I get it now , my meta-math was messing me up so the answer is A right

radar · Answer

No.

anonymous · Answer

I really don't understand why it not

radar · Answer

Here is why, A   is  y= x/2
Now let us test this:    If x = 2 what will y be?

radar · Answer

Earth to Lyssa123  What will y be when x=2 in A.

radar · Answer

y = 2/2 = 1  Do you follow that?

anonymous · Answer

Kinda

radar · Answer

Now lets make x bigger, lets make it 4 (4 is bigger than 2)
y=4/2=2   Don't you see that y got bigger?, it went from a 1 to a 2.
this is not rocket science, it is simple arithmetic.

radar · Answer

So as x gets bigger so does y, this is not a inverse variation it is a direct variation.

radar · Answer

That is why A or the first choice is a bad one.  Please start from my first post and please read them and attempt to follow.

radar · Answer

I have already told you the answer in a previous post, trust me.

anonymous · Answer

Ok see what u is saying  , i just need to read slowly  and C is the right answer is what u is try to say

radar · Answer

Yes, but you see I can't say C, cause then I would be giving away the answer.

anonymous · Answer

ok

radar · Answer

That would be a violation of the OS rules.  Besides I don't see any C or A or B or D.

radar · Answer

Good luck with your studies.  Oh by the way I use to live in St. Simons Island, Ga........Not too far from Jacksonville,FL

anonymous · Answer

Thanks and Kool