Question

Which table shows y as DIRECTLY PROPORTIONAL to x

Answer 1

b

Explanation:

Answer 2

Table B

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`

Verify table B

For
`x=1, y=1/2` ----->
`k=y/x=(1/2)/1=1/2`

For
`x=2, y=1` ----->
`k=y/x=1/2`

For
`x=3, y=3/2` ----->
`k=y/x=(3/2)/3=1/2`

For
`x=4, y=2` ----->
`k=y/x=2/4=1/2`

The values of k are the same

therefore

The table B shows y as DIRECTLY PROPORTIONAL to x

Verify table D

For
`x=1, y=3` ----->
`k=y/x=3/1=3`

For
`x=2, y=5` ----->
`k=y/x=5/2=2.5`

For
`x=3, y=7` ----->
`k=y/x=7/3`

For
`x=4, y=9` ----->
`k=y/x=9/4`

the values of k are different

therefore

The table D not shows y as DIRECTLY PROPORTIONAL to x