SOLUTION: The intensity, I, of light received fro a source varies inversely as the square of the distance, d, from the source. If the light intensity is 6 foot-candles at 16 feet, find the l

Algebra ->  Rational-functions -> SOLUTION: The intensity, I, of light received fro a source varies inversely as the square of the distance, d, from the source. If the light intensity is 6 foot-candles at 16 feet, find the l      Log On


   

Question 843389: The intensity, I, of light received fro a source varies inversely as the square of the distance, d, from the source. If the light intensity is 6 foot-candles at 16 feet, find the light intensity at 17 feet. Round your answer to the nearest hundredth.
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Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
"The intensity, I, of light received fro a source varies inversely as the square of the distance, d, from the source.", I=k%281%2Fd%5E2%29 or I=k%2Fd%5E2.

light intensity is 6 foot-candles at 16 feet, k=Id%5E2
k=6%2A16%5E2=1536.

The main equation is highlight%28I+=%281536%29%281%2Fd%5E2%29%29.
The question is for d=17, so evaluate I=%281536%2F17%5E2%29.