Question

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?

Answer 1

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

Answer 2

but that seems too easy

Answer 3

i know. How about y = 4x+1

Answer 4

the asnwer is no

Answer 5

i am probably in over my head.. sorry

Answer 6

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

Answer 7

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

Answer 8

ok so how does that apply to my first problem

Answer 9

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

Answer 10

in the form*

Answer 11

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

Answer 12

varie* My teacher isnt that good

Answer 13

look at what i said above about y = kx

Answer 14

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

Answer 15

k is a constant

Answer 16

it is called the proportionality constant

Answer 17

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

Answer 18

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

Answer 19

in your terms... k is the constant variation

Answer 20

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

Answer 21

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

Answer 22

Yeah I get that

Answer 23

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

Answer 24

yeah I see that

Answer 25

spot the difference

Answer 26

not the similarity

Answer 27

yeah

Answer 28

what do you mean yeah?

Answer 29

I spot the difference

Answer 30

what's the difference??

Answer 31

12 instead of K

Answer 32

RIGHT! that's why 12 is the constant variation

Answer 33

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

Answer 34

ohhh K= Constant Variationnnnnn

Answer 35

yes!

Answer 36

lmfao face to palm**

Answer 37

ok so what about this one y = 4x + 1

Answer 38

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

Answer 39

yes

Answer 40

that's because of the 1

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

Answer 41

what about y - 6x = 0

Answer 42

;)

Answer 43

simplify it first

Answer 44

solve for y first

Answer 45

can you do it?

Answer 46

I dont wnana get confused

Answer 47

add 6x to both sides

Answer 48

add 6 to 0?

Answer 49

6x..not 6

Answer 50

yeah

Answer 51

y-=6x?

Answer 52

im a idiot

Answer 53

y-?

Answer 54

lmfao it was negative

Answer 55

OH NVM

Answer 56

alright so the answer is 6!

Answer 57

yes

Answer 58

what about y _ 3 = -3x

Answer 59

-

Answer 60

what do you think?

Answer 61

add 3 to both sides

Answer 62

y= x?

Answer 63

you can't combine 3 and 3x

Answer 64

is that a constant variation?

Answer 65

no..im just talking about algebra

Answer 66

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

Answer 67

i have to go soon

Answer 68

awe ur like the best lol

Answer 69

call saifoo or amistre

Answer 70

eh Saifoo is a fool now he used to be cool

Answer 71

amistre doesnt help me anymore