document.write( "Question 1208725: The loudness of a stereo speaker, measured in decibels, varies inversely as the square of the distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you’re 4 feet from the speaker? \n" ); document.write( "
Algebra.Com's Answer #847132 by greenestamps(13209)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "A somewhat informal solution.... I will leave it to other tutors to provide a more formal solution if they want to.

\n" ); document.write( "The ratio of distances is 1:2,
\n" ); document.write( "so the square of the ratio of distance is 1:4,
\n" ); document.write( "so, because it is an inverse variation, the ratio of sound levels is 4:1

\n" ); document.write( "(28)*4 = 112

\n" ); document.write( "ANSWER: 112 db

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