Question

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 63 ft distant, by what factor will the amplitude of the sound change?

Answer 1

Amplitude is inversely related to distance from the source of generation

Thus

Amplitude is proportional to $\frac{1}{x}$

At first instance,

Amplitude is proportional to $\frac{1}{20}$

At other instance

Amplitude is proportional to $\frac{1}{63}$

Thus

$\frac{initial amplitude}{final amplitude}$ = $\frac{63}{20}$