## anonymous 3 years ago Determine whether y varies directly with x. If so find the constant variation. y = 12x ****** The answer is Yes; 12 I dont understand how this is the answer. Can someone help me?

1. anonymous

my guess would be that its because y is equal to whatever 12(x) is going to be.

2. anonymous

but that seems too easy

3. anonymous

i know. How about y = 4x+1

4. anonymous

the asnwer is no

5. anonymous

i am probably in over my head.. sorry

6. anonymous

here's something you can remember... if y and x are in one line...then it's a direct variation if either y or x is in the denominator...then inverse variation

7. anonymous

$y = kx \leftarrow \; \text{direct variation}$ $y = \frac kx \leftarrow \; \text{inverse variation}$

8. anonymous

ok so how does that apply to my first problem

9. anonymous

y = 12x <--in the for y = kx <--can you see that?

10. anonymous

in the form*

11. anonymous

oh ok so how does it arie directly with x.. Im sorry im just not seeing the picture

12. anonymous

varie* My teacher isnt that good

13. anonymous

look at what i said above about y = kx

14. anonymous

yeah I know but what does K mean how the flutter does it varie with anything?

15. anonymous

k is a constant

16. anonymous

it is called the proportionality constant

17. anonymous

it means its value doesnt matter because it is constant..in other words...always stays the same

18. anonymous

ok now I get why 12 is there.. So now explain the rest please?

19. anonymous

in your terms... k is the constant variation

20. anonymous

first tell me... do you agree that y = 12x is in the form y = kx?

21. anonymous

is y = k? which is 12? and how does that varie to x?

22. anonymous

Yeah I get that

23. anonymous

what do you see as difference between $\huge y = kx$ and $\huge y = 12x$

24. anonymous

yeah I see that

25. anonymous

spot the difference

26. anonymous

not the similarity

27. anonymous

yeah

28. anonymous

what do you mean yeah?

29. anonymous

I spot the difference

30. anonymous

what's the difference??

31. anonymous

32. anonymous

RIGHT! that's why 12 is the constant variation

33. anonymous

because k is the constant variation..and k = 12

34. anonymous

ohhh K= Constant Variationnnnnn

35. anonymous

yes!

36. anonymous

lmfao face to palm**

37. anonymous

38. anonymous

the answer to that one was "NOT direct variation" right?

39. anonymous

yes

40. anonymous

that's because of the 1 y = 4x + 1 is not in the form y = kx because of that 1

41. anonymous

what about y - 6x = 0

42. anonymous

;)

43. anonymous

simplify it first

44. anonymous

solve for y first

45. anonymous

can you do it?

46. anonymous

I dont wnana get confused

47. anonymous

48. anonymous

49. anonymous

6x..not 6

50. anonymous

yeah

51. anonymous

y-=6x?

52. anonymous

im a idiot

53. anonymous

y-?

54. anonymous

lmfao it was negative

55. anonymous

OH NVM

56. anonymous

alright so the answer is 6!

57. anonymous

yes

58. anonymous

what about y _ 3 = -3x

59. anonymous

-

60. anonymous

what do you think?

61. anonymous

62. anonymous

y= x?

63. anonymous

you can't combine 3 and 3x

64. anonymous

is that a constant variation?

65. anonymous

66. anonymous

Ah forget about that one can you help me with proportions? i'll open up a new question

67. anonymous

i have to go soon

68. anonymous

awe ur like the best lol

69. anonymous

call saifoo or amistre

70. anonymous

eh Saifoo is a fool now he used to be cool

71. anonymous

amistre doesnt help me anymore