Question

Which linear equation represents a non-proportional relationship? A) y = 10x B) y = 0.75x C) y = −x D) y = 0.25x + 2

Answer 1

D

Explanation:

A linear proportion relationship is of the form

y = kx ← k is the constant of proportionality

A y = 10x is in this form with k = 10 → proportional

B y = 0.75x is in this form with k = 0.75 → proportional

C y = - x is in this form with k = - 1 → proportional

D y = 0.25x + 2 is not in this form → non- proportional

Answer 2

option D

Explanation:

A) y = 10x

Here y varies directly with x

B) y = 0.75x

0.75 times x . so y varies directly with x

C) y = −x

-x is -1 times x. So y varies directly with x

D) y = 0.25x + 2

Here +2 is added at the end. So this linear equation represents non proportional relationship