Respuesta :

Given:

[tex]y\alpha\frac{1}{x}[/tex]

Introducing a constant 'k'

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

Substitute y = -97, x = 28

[tex]\begin{gathered} -97=\frac{k}{28} \\ \therefore k=-97\times28=-2716 \end{gathered}[/tex]

Let us write out the relationship connecting y and x

[tex]y=-\frac{2716}{x}[/tex]

Let us now solve for y if x = 36

[tex]y=-\frac{2716}{36}=-75\frac{4}{9}[/tex]

Hence,

[tex]y=-75\frac{4}{9}[/tex]