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=

Respuesta :

The constant of proportionality (r) appears to be 3.

y = 3x . . . . . . . x = number of tickets sold; y = dollars collected

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]