document.write( "Question 375493: The intensity I of a television signal varies inversely as the square of distance d from the transmitter. If the intensity is 25W/m^2 at a distance of 2 km, how far from the transmitter are you when the intensity is 2.6W/m^2?\r
\n" ); document.write( "\n" ); document.write( "Unfortunately, we did not go over this in class so I've been struggling with trying to figure it out. I want to think the formula to start with is I = k/d^2 after that I am stumped. I don't understand what 2.6W/m^2 represents.
\n" ); document.write( "Any help would greatly be appreciated.
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Algebra.Com's Answer #267072 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
You are off to a good start! You have written the inverse variation function for intensity (I):
\n" ); document.write( "\"I+=+k%2Fd%5E2\" Now you need to find the value of k, the constant of variation. You do this by substituting the given values of \"I+=+25\"W/m^2 and \"d+=+2\"meters:
\n" ); document.write( "\"25+=+k%2F2%5E2\" so that...
\n" ); document.write( "\"k+=+100\" Now the function for intensity looks like:
\n" ); document.write( "\"I+=+100%2Fd%5E2\" Now you can answer the question posed in the problem:
\n" ); document.write( "\"How far (d) are you from the transmitter when the intensity (I) is 2.6W/\"m%5E2\"?
\n" ); document.write( "Substitute the values into the last equation:
\n" ); document.write( "\"2.6+=+100%2Fd%5E2\" Solve for \"d%5E2\".
\n" ); document.write( "\"d%5E2+=+100%2F2.6\" Take the square root of both sides.
\n" ); document.write( "\"d+=+10%2Fsqrt%282.6%29\"meters.
\n" ); document.write( "\"d+=+6.2\"meters.
\n" ); document.write( "Intensity is Watts per square meter or \"W%2Fm%5E2\"
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