The illumination of an object by a light source is directlyproportional to the strength of the source and inverselyproportional to the square of the distance from the source.If two light sources, one three times as strong as the other,are placed 10 ft apart, where should an object be placedon the line between the sources so as to receive the leastillumination?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The illumination of an object by a light source is directly
proportional to the strength of the source and inversely
proportional to the square of the distance from the source.
If two light sources, one three times as strong as the other,
are placed 10 ft apart, where should an object be placed
on the line between the sources so as to receive the least
illumination?

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