Question

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.
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 lumen

Answer 1

MEDALING PEOPLE

Answer 2

you can use an exponential function

Answer 3

Let x = # meters of wire length

Answer 4

After one meter, 3.4% of the light is gone ... either soaked up in the fiber
material or escaped from it. So only (100 - 3.4) = 96.6% of the light
remains, to go on to the next meter.

After the second meter, 96.6% of what entered it emerges from it, and
that's 96.6% of 96.6% of the original signal that entered the beginning
of the fiber.

==> After 2 meters, the intensity has dwindled to (0.966)^2 of its original level.
It's that exponent of ' 2 ' that corresponds to the number of meters that the light
has traveled through.

==> After 'x' meters of fiber, the remaining light intensity is (0.966) ^x

If you shine 1,500 lumens into the front of the fiber, then after 'x' meters of
cable, you'll have
(1,500)*(0.966)^x
lumens of light remaining.

Answer 5

this is to answer the first part of the question.
THe second part uses a linear function

Answer 6

ok thanks