Question

Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5

Answer 1

Given that,

Constant of proportionality = $\dfrac{1}{5}$

Suppose, the following equations are,

a. $y=x-\dfrac{1}{5}$

b. $y=x-\dfrac{1}{5}$

c. $y=\dfrac{1}{5}x$

d. $y=5x$

We know that,

A graph a proportional relationship shows a straight line which is pass  through the origin.

We need to find the equation represents a proportional relationship

Using given data,

The equation represents a proportional relationship as,

$y=kx$

Where, k = proportionality constant

Put the value in the equation

$y=\dfrac{1}{5}x$

Hence, The equation is $y=\dfrac{1}{5}x$

(c) is correct option.