Question

Which equation(s)
represents a proportional
relationship?
A) y = 7x2
B) y = 2 + 3x
C) y = 12x
D) y = 5 - X

Answer 1

Answer:

C) y = 12 x Represents the proportional  relationship.

Step-by-step explanation:

Two quantities P and Q are said to be proportional if and only if:

$P \propto Q \implies  P  =  k Y$

Here: K = Proportionality Constant

Now, here the given expression are:

$1. y =  7 x^2\\\implies y \neq kx$

So, y is NOT PROPORTIONAL to x.

$2. y = 2 + 3x\\\implies y \neq kx$

So, y is NOT PROPORTIONAL to x.

$3. y = 12 x\\\implies y = kx, k = 12$

So, y is  PROPORTIONAL to x.

$2. y = 5 - x\\\implies y \neq kx$

So, y is NOT PROPORTIONAL to x.