Question

Which equation(s)

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

Answer 1

C) y = 12 x Represents the proportional relationship.

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 \\eq kx`

So, y is NOT PROPORTIONAL to x.

`2. y = 2 + 3x\\\implies y \\eq 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 \\eq kx`

So, y is NOT PROPORTIONAL to x.