The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. Is y a function of X. Write an equation describing x as a function of y​

Respuesta :

Using proportional relationships, it is found that:

  • y is a function of x, given by [tex]y = 9.6x[/tex].
  • x as a function of y is given by [tex]x = \frac{9.6}{x}[/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]

k is the constant of proportionality.

In this problem, considering:

  • x as the number of hours she works.
  • y as her earnings.
  • Lin's sister earns $9.60 per hour.

Hence, y is a function of x, given by:

[tex]y = 9.6x[/tex]

Also, we can write x as a function of y, as follows:

[tex]x = \frac{y}{9.6}[/tex]

You can learn more about proportional relationships at https://brainly.com/question/25067191

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