Question

which equation represents the relationship between x and y? x: 1,2,3,4,5 Y: 3,4,5,6,7 Choices y=2x, x=y+2, y=x+2, x=2y

Answer 1

(c) y=x+2

Explanation:

You want the relation between x and y, given some ordered pairs ...

(x, y) = (1, 3), (2, 4), (3, 5)

Relationship

Sometimes the easiest way to select the correct answer is to try the answers to see if they describe the relationship you see.

Using x = 1 and y = 3, here are the results:

• y = 2x ⇒ 3 = 2·1 . . . . no
• x = y +2 ⇒ 1 = 3 +2 . . . . no
• y = x +2 ⇒ 3 = 1 +2 . . . . yes
• x = 2y ⇒ 1 = 2·3 . . . . no

The only answer choice that makes any sense is

y = x +2

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