Question

4. The table represents a proportional relationship. Find the constant ofproportionality and write an equation to represent the relationship.aу23110103124Constant of proportionality:Equation: y =

Answer 1

Given the table which represents a proportional relationship

The general form for a proportional relationship is :

`y=k\cdot a`

Where k is the constant of the proportionality

As shown in the table :

when a = 2 , y = 2/3

And when a = 3 , y = 1

It is better to substitute with the second row

`\begin{gathered} a=3\rightarrow y=1 \\ \\ 1=k\cdot3 \\ \\ k=(1)/(3) \end{gathered}`

So, the equation will be :

`y=(1)/(3)a`