Determine the Constant of Variation for the Stated Condition

question 49

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

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