The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d from the source of the sound.
A person 14 feet from a jetski, it is 85 decibels loud.
How loud is the jetski when the person is 41 feet away? (Round to 3 decimal places.)
dB

L = 9.91 decibels.

Step-by-step explanation:

The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.

i.e L

L =

Where k is the constant of proportionality.

When d = 14 feet and L = 85 dB, then;

k = L x

  = 85 x

 = 16660

k = 16660

L =

Thus, when d = 41 feet, then;

L =

  =

  = 9.91077

L = 9.91 dB

The loudness is 9.91 decibels.