Answer:
[tex]k=\frac{3}{2}[/tex]
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 [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
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
[tex]k=\frac{y}{x}[/tex]
substitute the value of y and the value of x of the given ordered pair
[tex]k=\frac{3}{8}:\frac{1}{4}[/tex]
Multiply in cross
[tex]k=\frac{3*4}{8*1}=\frac{12}{8}[/tex]
Simplify
[tex]k=\frac{3}{2}[/tex]
