Question

The pair of points is on the graph of an inverse variation. Find the missing value.

(2, 8) and (x, 3)

Answer 1

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

Answer 2

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

Answer 3

ok

Answer 4

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

Answer 5

how would i find K?

Answer 6

by pluggin (2,8) as suggested above

Answer 7

ok. so y= 2,8/k?

Answer 8

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

Answer 9

ok so 8 = K/2

Answer 10

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

Answer 11

how do i find k?

Answer 12

by solving 8=k/2

Answer 13

so k =4?

Answer 14

notice you can just multiply both sides by 2

Answer 15

hmm 4/2 =8 is not true

Answer 16

so k is 2?

Answer 17

2/2=8 is not true

Answer 18

16/2?

Answer 19

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

Answer 20

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

Answer 21

k=16

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

so the answer is B?

Answer 26

right?

Answer 27

have you found x for when y=3 yet?

Answer 28

no...

Answer 29

well that is what the question ask you to do

Answer 30

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

Answer 31

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

Answer 32

ok (2,3)

Answer 33

you already found the equation above

Answer 34

you just need to input the y is 3

Answer 35

and solve for x

Answer 36

3= 16/8?

Answer 37

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

Answer 38

how do i solve X?

Answer 39

by solving the equation
3=16/x for x

Answer 40

so that would be 5.3?

Answer 41

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

Answer 42

what would that be as a mix fraction?

Answer 43

so you never wrote improper fractions as mix fractions before?

Answer 44

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

Answer 45

OHH

Answer 46

So the answer is D?

Answer 47

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

Answer 48

ok