Solve the Variation Problem

Multiple Choice

Solve the variation problem.
-The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 680 miles above the earth in 9 hours at a velocity of 23,000 mph, how long would it take a satellite to complete an orbit if it is at 1700 miles above the earth at a velocity of 28,000 mph? Use 3960 miles as the radius of the earth, and round your answer to the nearest hundredth of an hour.

A) 2.71 hours
B) 9.02 hours
C) 90.18 hours
D) 18.48 hours