Solving Inverse Variation Problems – Practice Problems

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 If y varies inversely as x, and y = 32 when x = 3, find x when y = 15. Complete Solution The frequency of a vibrating guitar string varies inversely as its length. Suppose a guitar string 0.65 meters long vibrates 4.3 times per second. What frequency would a string 0.5 meters long have? Complete Solution If r varies inversely as the cube of s, and r = 17 when s = 3, find r when s = 2. Complete Solution If g varies inversely as the square root of h, and g = 9 when h = 121, find g when h = 81. Complete Solution The current in a simple electrical circuit is inversely proportional to the resistance. If the current is 80 amps when the resistance is 50 ohms, find the current when the resistance is 22 ohms. Complete Solution The intensity of light produced by a light source varies inversely as the square of the distance from the source. If the intensity of light produced 3 feet from a light source is 750 foot-candles, find the intensity of light produced 5 feet from the same source. Complete Solution