A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d2.(a) If B1 is the decibel level at a distance di, use this model and the equationIB = 10 logIo(described in this section) to find the equation for the decibel level B2 at a distance d relative to B1 and d1.B2%3D(b) The intensity level at a rock concert is 119 dB at a distance 2.9 m from the speakers. Find the intensity level at a distance of 10 m. (Round your answer to the nearest whole number.)B2 =dB%3DNeed Help?Watch ItRead ItMaster It

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A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d². (a) If B, is the decibel level at a distance di, use this model and the equation B - 10 log (described in this section) to find the equation for the decibel level B, at a distance d, relative to B, and d. B2 = (b) The intensity level at a rock concert is 119 dB at a distance 2.9 m from the speakers. Find the intensity level at a distance of 10 m. (Round your answer to the nearest whole number.) B2 = dB

A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d². (a) If B, is the decibel level at a distance di, use this model and the equation B - 10 log (described in this section) to find the equation for the decibel level B, at a distance d, relative to B, and d. B2 = (b) The intensity level at a rock concert is 119 dB at a distance 2.9 m from the speakers. Find the intensity level at a distance of 10 m. (Round your answer to the nearest whole number.) B2 = dB

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 74E

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Question

A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d2.
(a) If B1 is the decibel level at a distance di, use this model and the equation
I
B = 10 log
Io
(described in this section) to find the equation for the decibel level B2 at a distance d relative to B1 and d1.
B2
%3D
(b) The intensity level at a rock concert is 119 dB at a distance 2.9 m from the speakers. Find the intensity level at a distance of 10 m. (Round your answer to the nearest whole number.)
B2 =
dB
%3D
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Consider the definition of intensity level,

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Now, we determine the difference:

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b) The intensity level at a rock concert is 119 dB at a distance 2.9 m from the speakers.

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