P varies directly as x and inversely as the square

P varies directly as x and inversely as the square of y.
$$\displaystyle{\left({P}=\frac{28}{{3}}\text{ when }{x}={42}{\quad\text{and}\quad}{y}={9}\right)}$$

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curwyrm

The model has the form
$$​ \displaystyle{z}={k}{x}^{n}{y}^{m} ​$$

$$\frac{28}{{3}}={k}{\frac{{{42}}}{{{9}^{2}}}}$$

$${k}=\frac{28}{{3}}\cdot\frac{{9}^{2}}{{42}}={18}$$

$${P}={\frac{{{18}{x}}}{{{y}^{2}}}}$$