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.

The tables show proportional relationships find the constant of proportionality k Write an equation to represent the relationship between two quantities Tell wh class=

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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]