The graph shows a proportional relationship between x and y.Find the constant of proportionality (r) and write an equation to represent the relationship.
![The graph shows a proportional relationship between x and yFind the constant of proportionality r and write an equation to represent the relationship class=](https://us-static.z-dn.net/files/d81/a078574aef835166d973ce87a4525bbc.jpg)
Answer:
r=3
[tex]y=3x[/tex]
Step-by-step explanation:
We are given that a graph.
The graph shows a proportional relationship between x and y.
From given graph we can see that when x increases then y is also increases.
Therefore, [tex]y\propto x[/tex]
[tex]y=rx[/tex]
Where r=proportionality constant
x=5 and y=15
Substitute the values then we get
[tex]15=r(5)[/tex]
[tex]r=\frac{15}{5}=3[/tex]
Substitute the value of r
Then, the equation to represent the relationship is given by
[tex]y=3x[/tex]