Answer: sound intensity will decrease to the one - fourth of its initial value.
Step-by-step explanation:
The relationship between sound intensity and the distance obeys inverse square law, where the intensity of sound is inversely proportional to the square of the distance. That is,
I = 1/ r^2
Where
I = sound intensity
r = distance.
If the distance from the source is doubled, sound intensity will decrease in value to the one - fourth of its initial value.