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 8 feet from a jetski, it is 60 decibels loud.
How loud is the jetski when the person is 41 feet away?

If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

Given that loudness, L varies inversely with the square of the distance, d², if we introduce a constant of proportionality, k, the expression becomes

L = k/d²

If L = 60 when d = 8, then

60 = k/8² = k/64

k = 60 × 64 = 3840

Therefore, the inverse variation equation is

L = 3840/d²

When d = 41, then

L = 3840/41²

L = 2.28 decibels

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 8 feet from a jetski, it is 60 decibels loud. How loud is the jetski when the person is 41 feet away?

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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 8 feet from a jetski, it is 60 decibels loud.
How loud is the jetski when the person is 41 feet away?