anonymous
  • anonymous
If y =12 when x= 6, find x when y=-24
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
find a point in a graph?
freckles
  • freckles
You would tell whoever gave this question that there isn't enough info.
freckles
  • freckles
does y vary directly with x maybe?

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freckles
  • freckles
does y vary indirectly with x? or you not given anything else?
anonymous
  • anonymous
yes, i want to know too..
anonymous
  • anonymous
Write an inverse variation equation that relates x and y. Assume that y varies inversely as x. Then solve.
freckles
  • freckles
\[y=\frac{k}{x}\]
freckles
  • freckles
plug in x=6,y=12 to find the constant k
freckles
  • freckles
that is the first step then there is another step afterwards
anonymous
  • anonymous
simplify and substitute
anonymous
  • anonymous
okay i plugged everything in..
freckles
  • freckles
did you find the constant k?
freckles
  • freckles
that was the whole point in pluggin in your first part (x,y)=(6,12)
freckles
  • freckles
first pair*
anonymous
  • anonymous
so it'd be -3 ?
anonymous
  • anonymous
the answer is -12?
anonymous
  • anonymous
y=kx 12=k(6) 2=k y=2x -24=2x x=-24/2 x=-12
freckles
  • freckles
I think 6(12) isn't -3
anonymous
  • anonymous
thats not even a choice.
freckles
  • freckles
\[y=\frac{k}{x} \\ xy=k \\ 6(12) =k\]
freckles
  • freckles
do you know how to multiply 6 and 12?
freckles
  • freckles
if you don't you can think of it as 12+12+12+12+12+12 (the sum of six 12's)
anonymous
  • anonymous
yes i do thanks but my teacher checked it and she said its right
freckles
  • freckles
oh you already did the question?
anonymous
  • anonymous
i did what you said to start off with but then she emailed me back and set it up
freckles
  • freckles
ok so when you said -3 you weren't talking about k you were talking about the for x when y=-24
anonymous
  • anonymous
yes
freckles
  • freckles
\[xy=k \\ 6(12)=k \\ 72=k \\ \text{ yeah } k \text{ is 72} \\ xy=72 \text{ replaced } k \text{ with } 72 \\ \\ \text{ now what is } x \text{ when } y=-24 \\ -24x=72 \] yep final answer is x=-3 when y=-24

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