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

D

Step-by-step 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

option D

Step-by-step 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