Respuesta :

The proportional relationship that gives the cost of x tickets is:

[tex]y = 18x[/tex]

What is a proportional relationship?

  • A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

  • In which k is the constant of proportionality.

Two tickets to an ice skating performance costs $36, hence, when [tex]x = 2, y = 36[/tex], then:

[tex]y = kx[/tex]

[tex]36 = 2k[/tex]

[tex]k = \frac{36}{2}[/tex]

[tex]k = 18[/tex]

Hence, the relationship is described by:

[tex]y = 18x[/tex]

You can learn more about proportional relationships at https://brainly.com/question/13550871