The tables show proportional relationships. find the constant of proportionality, k. Write an equation to represent the relationship between two quantities. Tell what each variable represents.

Answer:
x represents the pens and y represents the boxes
[tex]y=\frac{3}{x}[/tex]
Step-by-step explanation:
The tables show proportional relationships.
When pens =3 , boxes =1
Number of pens is more than the number of boxes
So pens varies inversely with the boxes
For inversely proportional we use equation
[tex]y=\frac{k}{x}[/tex]
Where k is the constant of proportionality
x represents the pens and y represents the boxes
plug in x=3 and y=1. find out k
[tex]y=\frac{k}{x}[/tex]
[tex]1=\frac{k}{3}[/tex]
Cross multiply it
k=3
[tex]y=\frac{k}{x}[/tex]
[tex]y=\frac{3}{x}[/tex]