- Loudness of Sound 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) Write an equation that expresses this variation. (b) Find the constant of proportionality if a person 10 ft from a lawn mower experiences a sound level of 70 dB. (c) If the distance in part (b) is doubled, by what factor is the loudness changed? (d) If the distance in part (b) is cut in half, by what factor is the loudness changed?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 45E: Loudness of Sound The loudness L of a sound (measured in decibels, dB) is inversely proportional to...
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- Loudness of Sound 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) Write an equation that expresses this variation.
(b) Find the constant of proportionality if a person 10 ft
from a lawn mower experiences a sound level of 70 dB.
(c) If the distance in part (b) is doubled, by what factor is
the loudness changed?
(d) If the distance in part (b) is cut in half, by what factor is
the loudness changed?
Transcribed Image Text:- Loudness of Sound 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) Write an equation that expresses this variation. (b) Find the constant of proportionality if a person 10 ft from a lawn mower experiences a sound level of 70 dB. (c) If the distance in part (b) is doubled, by what factor is the loudness changed? (d) If the distance in part (b) is cut in half, by what factor is the loudness changed?
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