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Back to 8.9 Use Direct and Inverse Variation

8.9 Exercise 53

Avg difficulty 2.5

Write an inverse variation equation to solve the following problems.

On a string instrument, the length of a string varies inversely as the frequency of its vibrations. An 11-inch string on a violin has a frequency of 400 cycles per second.

  1. ⓐ Write the equation that relates the string length to its frequency.
  2. ⓑ What is the frequency of a 10-inch string?

OpenStax Elementary Algebra 2e, 8.9 Use Direct and Inverse Variation, exercise 53

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.