Question

Which equation represents a proportional relationship that has a constant of proportionality equal to 2?

Answer 1

Answer:

$y=2x$

Step-by-step explanation:

We are given that

The proportion constant=k=2

We know that

Direct proportion: When one quantity increases then other quantity is also increase.When one quantity decreases then other quantity is also decrease.

Mathematical representation:Let  one quantity= x and second quantity=y

$y\propto x$

$y=kx$

Where k= Proportionality constant

Substitute the value of k

$y=2x$

This is required equation which shows proportional relationship.

Answer 2

you didn't give the options but  constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

the constant of proportionality is k, so k=2

y= kx becomes y=2x

so y = 2x should be the answer