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