Chapter P, Problem 5CR

Kepler’s Third Law According to Kepler’s third law of planetary motion, the mean

distance $D$, in millions of miles, from a planet in our solar system to the sun is related to the

time $P$, in years, that it takes for the planet to complete a revolution around the sun, and the

relationship is

$D=93P^{2/3}$.

It takes the planet Pluto $249$ years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles.