anonymous
  • anonymous
The pair of points is on the graph of an inverse variation. Find the missing value. (2, 8) and (x, 3)
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
it can be 2, 16 5 1/3 or 12
freckles
  • 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
  • anonymous
ok

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More answers

freckles
  • freckles
then after you find k you can find x for when y is 3
anonymous
  • anonymous
how would i find K?
freckles
  • freckles
by pluggin (2,8) as suggested above
anonymous
  • anonymous
ok. so y= 2,8/k?
freckles
  • freckles
(2,8) tells us when x=2 that y=8
anonymous
  • anonymous
ok so 8 = K/2
freckles
  • freckles
solve for k or i guess you are calling it K solve for K
anonymous
  • anonymous
how do i find k?
freckles
  • freckles
by solving 8=k/2
anonymous
  • anonymous
so k =4?
freckles
  • freckles
notice you can just multiply both sides by 2
freckles
  • freckles
hmm 4/2 =8 is not true
anonymous
  • anonymous
so k is 2?
freckles
  • freckles
2/2=8 is not true
anonymous
  • anonymous
16/2?
freckles
  • freckles
have you tried doing what I asked multiply both sides by 2
freckles
  • freckles
8=k/2 multiply both sides by 2 2(8)=k
anonymous
  • anonymous
k=16
freckles
  • freckles
and as you see 16/2=8 is true yes k=16
freckles
  • freckles
\[y=\frac{16}{x}\]
freckles
  • freckles
now the question is to find x for when y=3
anonymous
  • anonymous
so the answer is B?
anonymous
  • anonymous
right?
freckles
  • freckles
have you found x for when y=3 yet?
anonymous
  • anonymous
no...
freckles
  • freckles
well that is what the question ask you to do
freckles
  • freckles
it says to find x in the given ordered pair (x,3)
freckles
  • freckles
(x,3) says what is x for when y=3
anonymous
  • anonymous
ok (2,3)
freckles
  • freckles
you already found the equation above
freckles
  • freckles
you just need to input the y is 3
freckles
  • freckles
and solve for x
anonymous
  • anonymous
3= 16/8?
freckles
  • 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
  • anonymous
how do i solve X?
freckles
  • freckles
by solving the equation 3=16/x for x
anonymous
  • anonymous
so that would be 5.3?
freckles
  • 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
  • anonymous
what would that be as a mix fraction?
freckles
  • freckles
so you never wrote improper fractions as mix fractions before?
freckles
  • freckles
16/3 3 goes into 16, 5 times with a remainder of 1 \[\frac{16}{3}=5\frac{1}{3} \]
anonymous
  • anonymous
OHH
anonymous
  • anonymous
So the answer is D?
freckles
  • freckles
I don't know whatever choice is 5 and 1/3
anonymous
  • anonymous
ok

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