document.write( "Question 1088684: The intensity (I) of a radio signal varies inversely as the square of the distance (d) from the transmitter. If the intensity is 23 W/m^2 at a distance from the transmitter of 2 km, what is the intensity st a distance of 6 km? \n" ); document.write( "
Algebra.Com's Answer #703018 by mathmate(429)\"\" \"About 
You can put this solution on YOUR website!
Question:
\n" ); document.write( "The intensity (I) of a radio signal varies inversely as the square of the distance (d) from the transmitter. If the intensity is 23 W/m^2 at a distance from the transmitter of 2 km, what is the intensity st a distance of 6 km?
\n" ); document.write( "
\n" ); document.write( "Solution:
\n" ); document.write( "Given:
\n" ); document.write( "I(d)=k/d^2 => k=I(d)*d^2
\n" ); document.write( "23=k/2^2=k/4
\n" ); document.write( "Need I(6).\r
\n" ); document.write( "\n" ); document.write( "k=I(6)*6^2=23*2^2
\n" ); document.write( "Solve for I(6)
\n" ); document.write( "I(6)=(23*2^2)/6^2=23/9
\n" ); document.write( "= 2.56 approx.
\n" ); document.write( "
\n" ); document.write( "Answer: the intensity at 6km is 2.56 W/m^2
\n" ); document.write( "
\n" );