Monday, April 16, 2018

College Algebra, Chapter 5, 5.4, Section 5.4, Problem 82

The transparency of the water is determined by measuring the intensity of light at various depths in a lake. Suppose that I=10e0.008x 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=10e0.008(30)I=10e0.24I=7.866


b.) if I=5, then


5=10e0.008x510=e0.008xln(12)=0.008xx=ln(12)0.008x=86.64ft

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