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

1. anonymous

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

2. 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

3. anonymous

ok

4. freckles

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

5. anonymous

how would i find K?

6. freckles

by pluggin (2,8) as suggested above

7. anonymous

ok. so y= 2,8/k?

8. freckles

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

9. anonymous

ok so 8 = K/2

10. freckles

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

11. anonymous

how do i find k?

12. freckles

by solving 8=k/2

13. anonymous

so k =4?

14. freckles

notice you can just multiply both sides by 2

15. freckles

hmm 4/2 =8 is not true

16. anonymous

so k is 2?

17. freckles

2/2=8 is not true

18. anonymous

16/2?

19. freckles

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

20. freckles

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

21. anonymous

k=16

22. freckles

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

23. freckles

$y=\frac{16}{x}$

24. freckles

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

25. anonymous

so the answer is B?

26. anonymous

right?

27. freckles

have you found x for when y=3 yet?

28. anonymous

no...

29. freckles

well that is what the question ask you to do

30. freckles

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

31. freckles

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

32. anonymous

ok (2,3)

33. freckles

you already found the equation above

34. freckles

you just need to input the y is 3

35. freckles

and solve for x

36. anonymous

3= 16/8?

37. 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

38. anonymous

how do i solve X?

39. freckles

by solving the equation 3=16/x for x

40. anonymous

so that would be 5.3?

41. 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

42. anonymous

what would that be as a mix fraction?

43. freckles

so you never wrote improper fractions as mix fractions before?

44. freckles

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

45. anonymous

OHH

46. anonymous

So the answer is D?

47. freckles

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

48. anonymous

ok