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suppose that a spotlight is used for lighting objects at many different distances and that the area a of the light circle produced is related to the distance x to the lighted object by a=0.1x^2.
a. if the spotlight produces 250 lumens of light energy, what function gives the intensity of the light i, (in lumens per square foot) as a function of the distance x in feet from the spotlight to its target?
b. write and solve equations that match these questions about the light intensity from the spotlight.
i. what is the intensity of light on an object that is 20 feet from the spotlight source?
ii. how far from the spotlight is an object that recieves 100 lumens of light per square foot?