The frequency of a guitar string varies inversely with its length. A 26 in.-long string has a frequency of 440 vibrations per second. ⓐ Write the equation of variation. ⓑ How many vibrations per second will there be if the string’s length is reduced to 20 inches by putting a finger on a fret?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.184TI: The force needed to break a board varies inversely with its length. Richard uses 24 pounds of...
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The frequency of a guitar string varies inversely with its length. A 26 in.-long string has a frequency of 440 vibrations per second.

ⓐ Write the equation of variation. ⓑ How many vibrations per second will there be if the string’s length is reduced to 20 inches by putting a finger on a fret?

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