Question

The graph shows a proportional relationship between x and y.Find the constant of proportionality (r) and write an equation to represent the relationship.

Answer 1

r=3

`y=3x`

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,
`y\propto x`

`y=rx`

Where r=proportionality constant

x=5 and y=15

Substitute the values then we get

`15=r(5)`

`r=(15)/(5)=3`

Substitute the value of r

Then, the equation to represent the relationship is given by

`y=3x`

Answer 2

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

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