The apparent brightness B of a light source (measured in W/m2) is directly proportional to the luminosity L (measured in W) of the light source and inversely proportional to the square of the distance d from the light source (measured in meters). (a) Write an equation that expresses this variation. (b) If the distance is doubled, by what factor will the brightness change? (c) If the distance is cut in half and the luminosity is tripled, by what factor will the brightness change?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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The apparent brightness B of a light source (measured in W/m2) is directly
proportional to the luminosity L (measured in W) of the light source and inversely
proportional to the square of the distance d from the light source (measured in
meters).
(a) Write an equation that expresses this variation.
(b) If the distance is doubled, by what factor will the brightness change?
(c) If the distance is cut in half and the luminosity is tripled, by what factor will the
brightness change?
Transcribed Image Text:The apparent brightness B of a light source (measured in W/m2) is directly proportional to the luminosity L (measured in W) of the light source and inversely proportional to the square of the distance d from the light source (measured in meters). (a) Write an equation that expresses this variation. (b) If the distance is doubled, by what factor will the brightness change? (c) If the distance is cut in half and the luminosity is tripled, by what factor will the brightness change?
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