Question

Which relation is a direct variation that contains the ordered pair (2, 7)?

Answer 1

Choices:
y=4x-1
y=2/7x
y=7/2x
y=7/x

(2,7) ⇒ x = 2 ; y = 7
y = 4x - 1 ⇒ y = 4(2) - 1 ; y = 8 - 1 ; y = 7
y = 2/7x ⇒ y = 2/7(2) ; y = 2/14 ; y = 1/7
y = 7/2x ⇒ y = 7/2(2) ; y = 7/4 ; y = 1 3/4
y = 7/x ⇒ y = 7/2 ; y = 3 1/2

Among the choices, only y = 4x - 1 is the direct variation that contains the ordered pair (2,7)

Answer 2

The direct relation that is a direct variation that contains the ordered pair (2, 7) is; y = (7/2)x

How too work with direct variation?

Given ordered pair is (2, 7)

We know that y = kx is valid for every direct relationship,

Determine k using the y and x, since k = y/x

k = 7/2

k = 3.5

Put the value for k in y = kx and you have y = 3.5x.

Therefore, the direct relation that is a direct variation that contains the ordered pair (2, 7) is y = (7/2)x

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