The transparency of the water is determined by measuring the intensity of light at various depths in a lake. Suppose that I=10e−0.008x represents the intensity of light at depth x in a certain lake.
a.) Determine the intensity l at a depth of 30ft.
b.) On what depth will the light intensity drops to I =5?
a.) if x=30ft, then
I=10e−0.008(30)I=10e−0.24I=7.866
b.) if I=5, then
5=10e−0.008x510=e−0.008xln(12)=−0.008xx=ln(12)−0.008x=86.64ft
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