The table below consists of the planetary orbital distances and periods for all planets in our solar system. Find a model for planetary orbital period using the data for Venus and Jupiter. Use $p$ to represent orbital period and $d$ the distance from the sun.

$$\begin{array}{lcc} \mbox{Planet} \quad & \quad\mbox{Distance from Sun } (\times 10^6 \mbox{km})\quad & \quad \mbox{Orbital Period (days)} \\\hline \mbox{Mercury} & 57.9 & 88 \\ \mbox{Venus} & 108.2 & 224.7 \\ \mbox{Earth} & 149.6 & 365.2 \\ \mbox{Mars} & 227.9 & 687 \\ \mbox{Jupiter} & 778.6 & 4331 \\ \mbox{Saturn} & 1433.5 & 10747 \\ \mbox{Uranus} & 2872.5 & 30589 \\ \mbox{Neptune} & 4495.1 & 59800 \end{array}$$

Model: