Marine life is dependent upon the microscopic plant life that exists in the phot

Question

Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by Upper I equals Upper I 0 e Superscript negative 0.21 dI=I0e0.21d, where Upper I 0I0 is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 1010 feet? (B) 2020 feet?

Explanation / Answer

(A) d= 10.10
I=Io*e^-0.21d
I=Io*e^-2.121
I=Io*0.12
%=I*100/Io
=12%
(B)
d=20.2
I=Io*e^-4.242
I=Io*0.0144
%=1.44

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