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

Answer:

The relation $y=\frac{7}{2}x$ or y = seven-halves x is a direct variation that contains the ordered pair (2,7).

Step-by-step 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,

$y=kx$

$7=k\times 2$

$\frac{7}{2} =k$

$k=\frac{7}{2}$

Now, to get the direct variation:

$y=kx$

$y=\frac{7}{2}x$

$y=\frac{7}{2}x$ or y = seven-halves x.

Therefore, the relation $y=\frac{7}{2}x$ or y = seven-halves x is a direct variation that contains the ordered pair (2,7).