SOLUTION: the intensity I of illumination from a light source is inversely proportional to the square of the distance d from the source. Suppose the intensity is 320 candela at a distance o

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Question 1173968: the intensity I of illumination from a light source is inversely proportional to the square of the distance d from the source. Suppose the intensity is 320 candela at a distance of 10 feet from a light source.
a. What is the intensity at 2 feet from the​ source?
b. How far away from the source will the intensity be 400 ​candela?
a. the intensity of illumination is ____ at a distance of 2 feet from the source.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the intensity I of illumination from a light source is inversely proportional to the square of the distance d from the source.
make an equation from this information given
I = k%2Fd%5E2 where
I=illumination in candelas;
d=distance from light source,
k=constant
:
Suppose the intensity is 320 candela at a distance of 10 feet from a light source.
Find k with these values
k%2F10%5E2 = 320
k = 320 * 100
k = 32000
:
a. What is the intensity at 2 feet from the​ source?
I = 32000%2F2%5E2
I = 8000 candelas
:
b. How far away from the source will the intensity be 400 ​candela?
400 = 32000%2Fd%5E2
400d^2 = 32000
d^2 = 32000%2F400
d^2 = 80
d = sqrt%2880%29
d = 8.9 ft
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