An audio speaker producing a steady sound at an outdoor concert is 20 ft away from you. If you move to a position where the speaker is 62 ft distant, by what factor will the amplitude of the sound change

The factor by which the amplitude would change is  k = 0.336

Explanation:

From the question we are told that

   The distance away from the observer is  

    The new position of the observer is  

Generally amplitude is inversely proportional to distance

Let A denote the amplitude of the sound at d

So  

Now the amplitude at a distance 62 ft from the speaker can be mathematically represented as

 substituting values

so the factor by which the amplitude would change is  k = 0.336