Question

This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer as a ratio in simplified form in the box.

Answer 1

Its 3 over 2

Explanation:

i took the test and its right

Answer 2

`k=(3)/(2)`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have the point (1/4,3/8)

The constant of proportionality k is equal to

`k=(y)/(x)`

substitute the value of y and the value of x of the given ordered pair

`k=(3)/(8):(1)/(4)`

Multiply in cross

`k=(3*4)/(8*1)=(12)/(8)`

Simplify

`k=(3)/(2)`