Respuesta :
Recall the inverse proportionality relationship: If m is inversely proportional to n, then the relationship is:
[tex]m\propto\frac{1}{n}[/tex]Substitute y and √x for m and n respectively in the relationship:
[tex]y\propto\frac{1}{\sqrt{x}}[/tex]Applying a constant of proportionality, k, the relationship becomes:
[tex]\begin{gathered} y=\frac{k}{\sqrt{x}} \\ \therefore \\ k=y\sqrt{x} \end{gathered}[/tex]The question gives the following values for x and y:
[tex]y=7,x=49[/tex]Substituting these into the equation for k, the value of k can be gotten to be:
[tex]\begin{gathered} k=7\times\sqrt{49}=7\times7 \\ k=49 \end{gathered}[/tex]The constant of proportionality is 49.
The correct answer is FALSE.
