Fiber-optic cables are used widely for internet wiring, data transmission, and surgeries. When light passes through a fiber-optic cable, its intensity decreases with the increase in the length of the cable. If 1500 lumens of light enters the cable, the intensity of light decreases by 3.4% per meter of the cable.
Write a function f(x) to represent the intensity of light, in lumens, when it has passed through x meters of the cable.
Some scientists are trying to make a cable for which the intensity of light would decrease by 5 lumens per unit length of the cable. Can this situation be represented by a linear function? Justify your answer and write the appropriate function to represent this situation if 1500 lumens of light enter the cable.
light intensity decreasing inside the optical fiber is due to signal attenuation and can be expressed as a function of distance passing through the optical fiber as intensity i =I(Length of the optical fiber)
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