The proportional relationship that models the price that she charges for x empanadas is given by:
y = 0.5x.
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.
Researching the problem on the internet, it is found that she charges $1 for 2 empanadas, $2 for 4, $3 for 6, and so on, hence:
[tex]k = \frac{1}{2} = \frac{2}{4} = \frac{3}{6} = 0.5[/tex]
The equation that models the situation is:
y = 0.5x.
More can be learned about proportional relationships at https://brainly.com/question/10424180