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HELP ASAP PLS Select the correct answer.
A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreases by 25% with
each additional layer that is added to the screen. With no screen, the light bulb produces 750 lumens. The lumen is a unit for measuring the total
quantity of visible light emitted by a source,
Select the correct equation that can be used to represent the lumens, L, after x screen layers are added.

HELP ASAP PLS Select the correct answer A light bulbs brightness is reduced when placed behind a screen The amount of visible light produced by the light bulb class=

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Answer:

D. 750(0.75)Ë£

Step-by-step explanation:

Let the new brightness be L'. Since our initial brightness Lâ‚€ reduces by 25 %, we have that L' = Lâ‚€ - 25% of Lâ‚€

L' = Lâ‚€ - 0.25Lâ‚€

L' = 0.75Lâ‚€

Adding the second screen, the new intensity is L" = L' - 25 % of L'  

L" = L' - 0.25 L'

L" = 0.75L'.

Since L' = 0.75Lâ‚€,

L" = 0.75L' = 0.75(0.75L₀) = 0.75²L₀

Adding the third screen, the new intensity is L"' = L'' - 25 % of L''  

L'" = L" - 0.25 L"

L"' = 0.75L".

Since L" = 0.75L' = 0.75²L₀

L"' = 0.75L" = 0.75(0.75²L₀) = 0.75³L₀

So, we see a pattern here.

The intensity after x screens is L = (0.75)Ë£Lâ‚€

Since Lâ‚€ = 750 lumens,

L = 750(0.75)Ë£

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