document.write( "Question 1158792: Loudness measured in decibels (dB) is defined by loudness=10 logr I Over ^I lower 0
\n" ); document.write( ", where I is the intensity and I0=10 Superscript negative 12 W/msquared.
\n" ); document.write( "The noise level inside a convertible driving along the freeway with its top up is 80 dB. With the top down, the noise level is 97 dB. Find the intensity of the sound with the top up and the top down. \n" ); document.write( "

Algebra.Com's Answer #854619 by KMST(5396) $\"\"$ $\"About$

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Loudness (L) in decibels (dB) is calculated as $\"L=10%2Alog%28%28I%2FI%5B0%5D%29%29\"$ ,
\n" ); document.write( "where $\"I%5B0%5D=10%5E-12\"$ $\"%22W%2F%22\"$ $\"m%5E2\"$ and $\"I\"$ is sound intensity in the same units.
\n" ); document.write( "Solving for $\"I\"$ :
\n" ); document.write( " $\"L=10%2Alog%28%28I%2FI%5B0%5D%29%29\"$ --> $\"L%2F10=log%28%28I%2FI%5B0%5D%29%29\"$ --> $\"10%5E%22L%2F10%22=I%2FI%5B0%5D\"$ --> $\"I=I%5B0%5D%2A10%5E%22L%2F10%22\"$
\n" ); document.write( "With the top up:
\n" ); document.write( " $\"L=80\"$ $\"%28in+DB%29\"$ is the noise level inside a convertible,
\n" ); document.write( "so the sound intensity in $\"%22W%2F%22\"$ $\"m%5E2\"$ is

.
\n" ); document.write( "With the top down:
\n" ); document.write( " $\"L=97\"$ $\"%28in+DB%29\"$ is the noise level inside a convertible,
\n" ); document.write( "so the sound intensity in $\"%22W%2F%22\"$ $\"m%5E2\"$ is
\n" ); document.write( "

(rounded). \n" ); document.write( "

\n" );