Question

Please help In which table does y vary directly with x?

Answer 1

Answer:

The last one D

Step-Dy-step explanation:

cuz i got mine righ

Answer 2

Answer:

Table D

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Table A

For x=1, y=3

Find the value of k

$k=y/x$ -----> $k=3/1=3$

For x=2, y=9

Find the value of k

$k=y/x$ -----> $k=9/2=4.5$

the values of k are different

therefore

The table A not represent a direct variation

Table B

For x=1, y=-5

Find the value of k

$k=y/x$ -----> $k=-5/1=-5$

For x=2, y=5

Find the value of k

$k=y/x$ -----> $k=5/2=2.5$

the values of k are different

therefore

The table B not represent a direct variation

Table C

For x=1, y=-18

Find the value of k

$k=y/x$ -----> $k=-18/1=-18$

For x=2, y=-9

Find the value of k

$k=y/x$ -----> $k=-9/2=-4.5$

the values of k are different

therefore

The table A not represent a direct variation

Table D

For x=1, y=4

Find the value of k

$k=y/x$ -----> $k=4/1=4$

For x=2, y=8

Find the value of k

$k=y/x$ -----> $k=8/2=4$

For x=3, y=12

Find the value of k

$k=y/x$ -----> $k=12/3=4$

All the values of k are equal

therefore

The table D represent a direct variation or proportional relationship

The linear equation is $y=4x$