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The intensity I of light from a light bulb varies inversely as the square of the distanced from the lightbulb. Suppose I is 90 w/m2 when the distance is 5 m. How much farther would it be to a point wherethe intensity is 40 w/m2?meters farther.It would be(Simplify your answer.)

Question
The intensity I of light from a light bulb varies inversely as the square of the distanced from the light
bulb. Suppose I is 90 w/m2 when the distance is 5 m. How much farther would it be to a point where
the intensity is 40 w/m2?
meters farther.
It would be
(Simplify your answer.)
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The intensity I of light from a light bulb varies inversely as the square of the distanced from the light bulb. Suppose I is 90 w/m2 when the distance is 5 m. How much farther would it be to a point where the intensity is 40 w/m2? meters farther. It would be (Simplify your answer.)

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Step 1

Given,

           The intensity I of light from a light bulb varies inversely as the square of the distance d from the light bulb.

1 k d where k is constant of proportionality.
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1 k d where k is constant of proportionality.

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Step 2

When I = 90w/m2 then d = 5 m.

So, 90 = k (5)

        k = 18

Therefore, I = 18d

Again, when I = 40w/m2 then

       ...

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