Question

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Answer 1

Fiber-optic cables are used widely to increase the speed and accuracy of data transmission. When light passes through a fiber-optic cable, its intensity decreases with the increase in the length of the cable. If 1700 lumens of light enters the cable, the intensity of light decreases by 1.9% per meter of the cable.

Answer 2

Part A: Can this situation be represented by a linear function? Justify your answer.

Part B: Write a function f(x) to represent the intensity of light, in lumens, when it has passed through x meters of the cable.

Part C: Some scientists are trying to make a cable for which the intensity of light would decrease by 2 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 1700 lumens of light enter the cable.

Answer 3

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Answer 4

@scoobydo

Answer 5

@knov

Answer 6

@mathmale

Answer 7

@praxer

Answer 8

@sleepyjess @ganeshie8

Answer 9

@chasebraves @AloneS

Answer 10

y=1700−2x
which is linear for part a