Question

Identify which table shows a direct variation.

Table 1
x y
2 2
6 12
9 18

Table 2
x y
2 14
6 42
9 63


A.
Table 1

B.
Table 2

C.
Table 1 and Table 2

D.
Neither table

Answer 1

i will give medals

Answer 2

and fan

Answer 3

hint: a direct variation can be written in the form y = kx, where k is a constant

Answer 4

i dont know that stuff can you just help me cause im very behind and i need this done

Answer 5

I'm not allowed to just give you the answer, I'm here to help you work through this

ok, think of it this way: for a direct variation, you can get the y value by multiplying x by a number, without doing anything else to it

let's look at table 1: can you get every y value by multiplying x by a certain number?

Answer 6

just teach me how to do variation

Answer 7

that's what I'm trying to do, can you please try to answer my question?

Answer 8

2x6 and thanks for helping me out so 2x 6

Answer 9

Not quite, let's try one more approach:

So we have table 1:
x y
2 2
6 12
9 18

let's look at the first point: x = 2 and y = 2
what can you multiply by x to get y?

Answer 10

2x0

Answer 11

no, please try again

2 times what equals 2?

Answer 12

2x1

Answer 13

sorry im confused

Answer 14

perfect! now, try it again for the second point: x = 6 and y = 12

Answer 15

what number times 6 = 12?

Answer 16

6x2

Answer 17

perfect! we know two things now:

to get from x = 2 to y = 2, you multiply by 1
to get from x = 6 to y = 12, you multiply by 2

1 and 2 are not the same, so this cannot be a direct variation

Answer 18

okay so no variation

Answer 19

small correction, it is not a DIRECT variation, which is what the problem is asking

now, try again with table 2. Let's see if you can figure this one out on your own

Answer 20

Table 2
x y
2 14
6 42
9 63

Answer 21

14 x 1 = 14

Answer 22

not quite
for the first point, x = 2 and y = 14
do you understand where the x = 2 comes from?

Answer 23

14 x 3 = 42

Answer 24

no, I think you're a bit confused, let me try to explain again:

let's just look at the first row:
x = 2 and y = 14, do you agree with me?

Answer 25

14 x 2 = 28

Answer 26

i need to hurry please help

Answer 27

No, let me try again:

we know that y = 14 and x = 2. What number can you multiply by 2 to get 14?

remember: you are looking for a number that you can multiply by x to get y

Answer 28

28

Answer 29

nope, what number times 2 = 14?

Answer 30

__ * 2 = 14
fill in the blank

Answer 31

2x 7

Answer 32

YES, now, can you repeat the same process with the rest of the table?

second row: x = 6 and y = 42
what number can you multiply by x to get y?