The orbital speeds of asteroids and their distance from the sun are related. In the accompanying table, x represents orbital speed, in kilometers per second, and y represents the distance from the sun, in millions of kilometers. Write a power regression equation for this set of data, rounding all coefficients to the nearest ten-thousandth. Using this equation, find the distance from the sun, to the nearest million kilometers, of an asteroid with an orbital speed of 45.5 km/s.

Orbital Speed (km/s) (x) Distance from Sun (millions of km) (y)

6.6 9869

10.5 6043

14.6 4444

21.5 3307

26.4 2664

30.7 2425

37.5 1922