EXAMPLE 12 Transparency of a Lake If I, and I denote the intensity of light before and after going through a material and x is the distance (in feet) the light travels in the material, then according to the Beer-Lambert Law, In k = x where k is a constant depending on the type of material. (a) Solve the equation for I. The intensity of light in a lake diminishes with depth. (b) For a certain lake k = 0.025, and the light intensity is 1, = 14 lumens (Im). Find the light intensity at a depth of 20 ft.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...
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EXAMPLE 12
Transparency of a Lake
If I, and I denote the intensity of light before and after going through a material
and x is the distance (in feet) the light travels in the material, then according to the
Beer-Lambert Law,
In
k
= x
where k is a constant depending on the type of material.
(a) Solve the equation for I.
The intensity of light in a lake
diminishes with depth.
(b) For a certain lake k = 0.025, and the light intensity is 1, = 14 lumens (Im). Find
the light intensity at a depth of 20 ft.
Transcribed Image Text:EXAMPLE 12 Transparency of a Lake If I, and I denote the intensity of light before and after going through a material and x is the distance (in feet) the light travels in the material, then according to the Beer-Lambert Law, In k = x where k is a constant depending on the type of material. (a) Solve the equation for I. The intensity of light in a lake diminishes with depth. (b) For a certain lake k = 0.025, and the light intensity is 1, = 14 lumens (Im). Find the light intensity at a depth of 20 ft.
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