Question

WORTH 30 points !!!! Pls help

1.
For a certain light bulb, the intensity of the light, measured in lux, can be modeled by
I(d) = 120d, where d is the distance measured in feet from the light bulb.
A. What is the intensity of the light bulb if you stand 6 feet away from the light bulb?
Show work.
B. If the intensity of the light bulb is about 0.826 lux, how far are you from the light bulb?
Show work.

Answer 1

The intensity of the light bulb when standing 6 feet away is 720 lux. If the intensity of the light bulb is approximately 0.826 lux, you are approximately 0.0069 feet away.

Step-by-step explanation:

A. To find the intensity of the light bulb if you stand 6 feet away, we can use the given model: I(d) = 120d, where d is the distance measured in feet from the light bulb. Substitute d = 6 into the equation: I(6) = 120(6) = 720 lux. Therefore, the intensity of the light bulb when you stand 6 feet away is 720 lux.

B. To find the distance from the light bulb if the intensity is about 0.826 lux, we can rearrange the model equation I(d) = 120d to solve for d. Divide both sides by 120: d = I(d)/120. Substitute I(d) = 0.826 into the equation: d = 0.826/120 = 0.0069 feet. Therefore, you are approximately 0.0069 feet or 0.082 inches away from the light bulb.