Q:

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​

Accepted Solution

A:
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