document.write( "Question 336880: The intensity I of light from a light bulb varies inversely as the square of the distance d from the light bulb. Suppose I is 1000 w/m^2 when the distance is 4m. How much farther would it be to a point where the intensity is 810 w/m^2? \n" ); document.write( "
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\n" ); document.write( "The intensity I of light from a light bulb varies inversely as the square of the distance d from the light bulb. Suppose I is 640 w/m^2 when the distance is 8m. How much farther would it be to a point where the intensity is 90 w/m^2?
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\n" ); document.write( " k is a constant, d = distance
\n" ); document.write( "640 = k/8^2 = k/64
\n" ); document.write( "k = 40960
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\n" ); document.write( "For 90 w/m^2:
\n" ); document.write( "90 = 40960/d^2
\n" ); document.write( "d^2 = 40960/90
\n" ); document.write( "d = 64/3 meters
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