Question

If y varies directly as x, find the constant of variation if y = 12 when x = 1/3.

Answer 1

The possible answers are...

A: 36
B: 4
C: 6
D: 12

Answer 2

direct variation is made by the formula of

y=kx

plug that in, solve for k.

Answer 3

So technically, it's 12 = 36/4/6/12 * 1/3?

Answer 4

i don't really know what you mean but

12=k(1/3)

what times 1/3 =12

Answer 5

What I meant was that I put 12 as Y, times K, which could be either 36, 4, 6 or 12, multiplied by 1/3. Is that what I do? Or do I do something else?

Answer 6

i think you are making is harder than it has to be

12=k(1/3)

whatever answer choice you have satisfies k that makes that ^ equation true, is your constant.

Answer 7

which means there is only one answer

Answer 8

Oh, okay. So I divide 12 by 1/3?

Answer 9

yes, that would work.

Answer 10

Okay, give me a minute or so.

Answer 11

np

Answer 12

I got 4. But I don't think that's right.

Answer 13

if your dividing by less than 1, the number always turns out greater than the original number

Answer 14

check that you put parenthesis.

Answer 15

So it should be different, I'll try again.

Answer 16

Wait, is this a flip and multiply thing? Because if it is then the answer should be 36.

Answer 17

correct.

Answer 18

So 36 is the answer by the calculations we did?

Answer 19

yep

Answer 20

Okay, just to check, Y = 12, x = 1/3, then that becomes 12/1 * 3/1, which becomes 36/1 and thus 36, am I correct?

Answer 21

yes

Answer 22

That's good, I'll wait to see what triciaal has to say first, though.