Determine the Constant of Variation for the Stated Condition

Multiple Choice

Determine the constant of variation for the stated condition.
-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 720 miles above the earth in 14 hours at a velocity of 22,000 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 27,000 mph? (Use 3960 miles as the radius of the earth.) Round your answer to the nearest hundredth of an hour.

A) 13.8 hours
B) 26.93 hours
C) 4.14 hours
D) 137.96 hours