Question

Which relation is a direct variation that contains the ordered pair (2, 7)? y = 4x – 1 y = StartFraction 7 Over x EndFraction y = two-sevenths x y = seven-halves x

Answer 1

D is the right answer

Explanation:

Answer 2

The relation
`y=(7)/(2)x` or y = seven-halves x is a direct variation that contains the ordered pair (2,7).

Explanation:

Given:

The ordered pair = (2, 7).

Now, to get the direct variation:

As (2,7) lies on it.

So, direct variation means
`y=kx.`

`x=2.`

`y=7.`

Now,

`y=kx`

`7=k* 2`

`(7)/(2) =k`

`k=(7)/(2)`

Now, to get the direct variation:

`y=kx`

`y=(7)/(2)x`

`y=(7)/(2)x` or y = seven-halves x.

Therefore, the relation
`y=(7)/(2)x` or y = seven-halves x is a direct variation that contains the ordered pair (2,7).