Respuesta :
The expression given to us is: [tex] xy=12 [/tex]
If we divide both sides by [tex] x [/tex] then the above expression can be rewritten as:
[tex] y=\frac{12}{x} [/tex]
Now, we know that 12 is a constant, so the above equality can be changed into a proportionality as:
[tex] y=\frac{12}{x}\Rightarrow y=12\times \frac{1}{x} [/tex]
[tex] \therefore y\propto\frac{1}{x} [/tex]
Thus, we now know that there is an inverse proportionality between [tex] y [/tex] and [tex] x [/tex] which has a constant of proportionality, also known as the constant of variation to be 12.
