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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.

A.
L = 750(1.25)x
B.
L = 750(0.75)x
C.
L = 750(0.975)x
D.
L = 750(0.25)x

Answer :

JANICEMONTOYA8OYFULMGO

Answer:

b

Step-by-step explanation:

The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex]. Option B is correct.

What is the equation?

The equation is the relationship between variables and is represented as y = ax+ v an example of a polynomial equation.

Let L be the power of the bulb in lumens and x be the number of layers added to the screen. Since every layer decreases the brightness of the blubs by 25%, The sequence in which the light brightness gets decreased.

For number of screen x = 1
= 750(1 - 0.25)
For number of screen x = 2
= 750(1 - 0.25)(1 - 0.25)
For number of screen x = 3
=750(1 - 0.25)(1- 0.25)(1-0.25)
.... so on

The above observation can be computed as power (1 - 0.25)  increasing after adding a number of screens,

Now
[tex]L = 750(1 - 0.25)^x\\L = 750(0.75)^x[/tex]

Thus, The required equation that can be used to represent the lumens, L, after x screen layers are added is [tex]l = 750(0.75)^x[/tex].

Learn more about the equation here:

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