Question

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.




x

2

4

8

12


y

4

2

mc019-1.jpg

2/3





direct variation; y = 8/x
direct variation; y = 8x
inverse variation; xy = 8
inverse variation; y/x = 8

Answer 1

@LynFran

Answer 2

@AngusV

Answer 3

@LynFran

Answer 4

whats mc019.jpg

Answer 5

2/3

Answer 6

I'm stumped on this also

Answer 7

y=kx is direct variation
y=k/x is an inverse variation

Answer 8

so lets see

Answer 9

when x=2 y=4
when x=4 y=2
when x=8 y=??
when x=12 y=2/3

Answer 10

whats y when x=8

Answer 11

im not seeing the value

Answer 12

this is what im seeing
y

4

2

mc019-1.jpg =====whats this value???

2/3

Answer 13

it is 1

Answer 14

ok

Answer 15

y=kx if its direct variation
we will use when x=2 y=4
so 4=k2
4/2=k
2=k

we will use when x=4 y=2
so 2=k4
2/4=k
1/2=k

when x=8 y=1
1=k8
1/8=k
as we see k is constantly changing
so...this is not direct variation

Answer 16

so what is it?

Answer 17

y=k/x inverse variation
when x=2 y=4
4=k/2
4*2=k
8=k

when x=4 y=2
2=k/4
2*4=k
8=k

when x=8 y=1
1=k/8
1*8=k
8=k
so yes its inverse variation k=8