The brightness of the illumination of an object varies inversely as the square of the distance from the object to the source of light. how far from the bulb does an object receive four times as much illumination as it does when it is 8 m from the bulb

Question

Mathematics

Isabelle Carson

29 May, 18:27

The brightness of the illumination of an object varies inversely as the square of the distance from the object to the source of light. how far from the bulb does an object receive four times as much illumination as it does when it is 8 m from the bulb

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Answers (1)

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Karli Tanner · Answer 1

I=k/d^2

4=k/d^2 and 1=k/64 so if we divide the first by the second we get:

4/1 = (k/d^2) / (k/64)

4 = (k/d^2) * (64/k)

4=64/d^2

d^2=64/4

d^2=16

d=4 meters