Question

This graph shows a proportional relationship.

What is the constant of proportionality?
y= 1/4 x= 3/8

Answer 1

y = 1/4x

Explanation:

Proportional Relationships:

A proportional relationship is similar to a linear relationship, with one distinction, it's y-intercept is equal to zero, so it can be expressed in the form:
`y=kx`, where "k" is some constant. More specifically, when we divide y by x, we always get a constant amount, denoted as "k":
`(y)/(x)=k`.

Using this knowledge, we can kind of immediately tell it's
`y=(1)/(4)x` as it's the only one in the form:
`y=kx`, but let's look at why
`x=(3)/(8)` is not a proportional relationship.

It's important to note that
`x=(3)/(8)` is a vertical line, since the x value is constant while the y value varies. This means "y/x" cannot be constant, since "y" changes, except what it's being divided by will remain the same, equal to 3/8.