Mathematics
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OpenStudy (anonymous):
Please HELP me ): , i am stuck ..
Suppose that y varies inversely with x, and y = 2 when x = 6. What is an equation for the inverse variation?
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OpenStudy (dumbcow):
\[ y = \frac{k}{x}\]
solve for k using given info
\[2 = \frac{k}{6}\]
OpenStudy (anonymous):
/: im confused :(
OpenStudy (dumbcow):
the equation for inverse variation is:
\[y = \frac{k}{x}\]
where "k" is some constant
so solve for k and you are done
OpenStudy (anonymous):
how do i solve for k ?
OpenStudy (dumbcow):
plug in x=6 and y=2
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OpenStudy (anonymous):
@Luis_Rivera , help me .
OpenStudy (dumbcow):
am i and @Callisto not helping you ?
OpenStudy (anonymous):
your confusing me. im trying to plug it in, but then idk how to solve it. ): im just now learning how to do these problems.
OpenStudy (anonymous):
@adl_thoo , Show an attempt first
OpenStudy (anonymous):
I have :( im just learning how to do these. ive plugged it in, now how do i solve . thts where im stuck at.
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OpenStudy (anonymous):
what did u "plug in " ?
OpenStudy (anonymous):
okay, i plugged in what they said & i got : 2=6/x
OpenStudy (anonymous):
look
OpenStudy (anonymous):
oka
OpenStudy (anonymous):
k
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OpenStudy (anonymous):
o.O huh
OpenStudy (anonymous):
lol, that ,means ok
OpenStudy (anonymous):
lmao, i know it.
OpenStudy (anonymous):
@eSpeX , help me here ?
OpenStudy (espex):
What is it that you're not getting?
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OpenStudy (anonymous):
how to solve the equation . im very confused .
OpenStudy (anonymous):
x=y/4
y=12/x
y=4x
y=x/12
OpenStudy (anonymous):
those are my answers, i cant seem to get any of them
OpenStudy (espex):
Okay, the problem tells you that the relation between x and y is an inverse relationship. This means that as y increases, x decreases.
OpenStudy (anonymous):
Right . soo ?
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OpenStudy (espex):
As @dumbcow pointed out, your relationship is written as \[y=\frac{k}{x}\] and they give you the values of x and y.
OpenStudy (anonymous):
which means : 2=6/x
OpenStudy (espex):
So looking at your values and the potential answers, what (k) can you divide by x (6) that will give you y (2)?
OpenStudy (anonymous):
12 ?
OpenStudy (espex):
\[\boxed{\color{#E32}{\text{great job!}}}\]
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OpenStudy (anonymous):
so my answers is B ?
OpenStudy (espex):
So looking at your answers, do you have something that looks like \[y=\frac{12}{x}\] ?
OpenStudy (espex):
Yes, nice work.
OpenStudy (anonymous):
yes, B :D
OpenStudy (anonymous):
thank you so much !
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OpenStudy (espex):
You're welcome.