As the distance of a sound wave from its source quadruples, how is the intensity changed?

The intensity decreases by a factor 16

Explanation:

The intensity of a sound wave is inversely proportional to the square of the distance:

where

I is the intensity

d is the distance from the sound source

In this problem, we have that the distance from the source is quadrupled:

d' = 4 d

So, the new intensity will be:

so, we see that the intensity has decreased by a factor 16.

another example of kinetic energy would be,

kinetic energy   >     moving energy

answer   >   letter choice (c),   a hammer falling off a table.

hope that !                                         : )