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 I = I0 e -0.36d, where I0 is the intensity of light at the surface. What percentage of the surface light will reach a depth of 5 feet? 10 feet? The percentage of surface light at 5 feet is %. (Round to the nearest percent as needed.) The percentage of surface light at 10 feet is %. (Round to the nearest percent as needed.)

Explanation / Answer

(A) d= 5 I=Io*e^-0.36d I=Io*e^-1.8 I=Io*0.165 %=I*100/Io =16.5% (B) d=10 I=Io*e^-3.6 I=Io*0.027 %=2.7

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