Question

This graph shows a proportional relationship.

Answer 1

Answer:

$k=\frac{3}{2}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ 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

$k=\frac{y}{x}$

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

$k=\frac{3}{8}:\frac{1}{4}$

Multiply in cross

$k=\frac{3*4}{8*1}=\frac{12}{8}$

Simplify

$k=\frac{3}{2}$