- anonymous

The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)

- chestercat

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- anonymous

it can be 2, 16 5 1/3 or 12

- freckles

well y varies inversely with x means
for constant k we have:
\[y=\frac{k}{x}\]
first step is to plug in (2,8) to find k

- anonymous

ok

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## More answers

- freckles

then after you find k
you can find x for when y is 3

- anonymous

how would i find K?

- freckles

by pluggin (2,8) as suggested above

- anonymous

ok. so y= 2,8/k?

- freckles

(2,8) tells us when x=2 that y=8

- anonymous

ok so 8 = K/2

- freckles

solve for k or i guess you are calling it K
solve for K

- anonymous

how do i find k?

- freckles

by solving 8=k/2

- anonymous

so k =4?

- freckles

notice you can just multiply both sides by 2

- freckles

hmm 4/2 =8 is not true

- anonymous

so k is 2?

- freckles

2/2=8 is not true

- anonymous

16/2?

- freckles

have you tried doing what I asked
multiply both sides by 2

- freckles

8=k/2
multiply both sides by 2
2(8)=k

- anonymous

k=16

- freckles

and as you see 16/2=8 is true
yes k=16

- freckles

\[y=\frac{16}{x}\]

- freckles

now the question is to find x for when y=3

- anonymous

so the answer is B?

- anonymous

right?

- freckles

have you found x for when y=3 yet?

- anonymous

no...

- freckles

well that is what the question ask you to do

- freckles

it says to find x in the given ordered pair (x,3)

- freckles

(x,3) says what is x for when y=3

- anonymous

ok (2,3)

- freckles

you already found the equation above

- freckles

you just need to input the y is 3

- freckles

and solve for x

- anonymous

3= 16/8?

- freckles

do you remember you found k was 16
so I replaced the k with 16 got you
\[y=\frac{16}{x}\]
re[place y with 3 and solve for x

- anonymous

how do i solve X?

- freckles

by solving the equation
3=16/x for x

- anonymous

so that would be 5.3?

- freckles

close in decimal form that would be 5.33333333333333333333
but I think they wanted you to write it in mix fraction form not decimal form

- anonymous

what would that be as a mix fraction?

- freckles

so you never wrote improper fractions as mix fractions before?

- freckles

16/3
3 goes into 16, 5 times with a remainder of 1
\[\frac{16}{3}=5\frac{1}{3} \]

- anonymous

OHH

- anonymous

So the answer is D?

- freckles

I don't know
whatever choice is 5 and 1/3

- anonymous

ok

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