Question

Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D

Answer 1

the correct answer is D

Explanation:

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Answer 2

(D)

Explanation:

A proportional relationship is in the form of y=kx where k is the proportionality constant.

From the given options:

Consider the pairs (x,y) in Option D

(4,8),(7,14)(12,24),(15,30)

• When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2
• When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2
• When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2
• When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2

We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.