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Power Functions Definitions and Frinstances Direct Variation vs. Inverse Variation “Y varies directly as x” = ______________ = “Y is directly proportional to x” “Y varies directly as the second power of x” = ____________ “Y varies inversely as the third power of x” = _____________ In metric units, c is exactly 299,792,458 metres per second (or 1,079,252,848.8 km/h). Converted to imperial units , the speed of light is approximately 186,282.397 miles per second, or 670,616,629.384 miles per hour http://www.fnal.gov/pub/ferminews/santa/ The information in the table below lists the planets in our solar system, their distances from the sun, and the respective number of days for one complete revolution around the sun. Use the capabilities of your GC to determine a power function model for a planet’s distance (x) versus the number of days in the planet’s orbit (y). Using this model, how many days would you expect a planet 200 million kilometers away from the sun to take for one revolution? How many earth years would it take a planet 9000 million (nine billion) kilometers away from the sun to complete one complete revolution?
