Question

Write an equation to describe the variation. Use k for the constant of proportionality.h varies inversely as √pThe equation is___

Answer 1

For any two values x and y, if x varies inversely as y, the equation of the relationship can be expressed as follows:

$y=\frac{k}{x}$

Where k is a constant of proportionality. From the problem, we identify:

$\begin{gathered} x=h \\ y=\sqrt{p} \end{gathered}$

Finally:

$\begin{gathered} \sqrt{p}=\frac{k}{h} \\ \\ \text{ or} \\ \\ k=h\cdot\sqrt{p} \end{gathered}$