P varies directly as x and inversely as the square

Dillard 2021-08-13 Answered

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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Expert Answer

curwyrm
Answered 2021-08-14 Author has 15665 answers

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

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

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

\({P}={\frac{{{18}{x}}}{{{y}^{2}}}}\)

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