Question

Medal & Fan
Fiber-optic cables are used widely for wiring in aircraft and submarines. When light passes through a fiber-optic cable, its intensity decreases with the increase in the length of the cable. If 1200 lumens of light enters the cable, the intensity of light decreases by 2.5% per meter of the cable.

Part A: Can this situation be represented by an exponential function? Justify your answer. (2 points)

Answer 1

I think Yes this can be represented as a exponential function because it is decreasing by a percent. but ive seen some people say its a linear , im not sure

Answer 2

I would definitely say it is exponential...decay that is

Look at it like this...

at 1 meter we have 1200 * .975
at 2 meters we would have 1200 * .975^2

and it would continue on following the function

\[\large f(x) = 1200 * .975^x\]

where 'x' would be the length in meters the wire is increased by

Answer 3

Thank you !!

Answer 4

Anytime :)

Answer 5

very helpful