The loudness,

L
L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance,
d
d, from the source of the sound. Round to 3 decimal places.

A person 15 feet from a jetski, it is 75 decibels loud.

How loud is the jetski when the person is 47 feet away?

1 answer

L = k(1/d^2)

for the given:
75 = k(1/225)
k = 16875

L = 16875/d^2

then if d = 47
L = 16875/47^2 = 7.6 decibels