The intensity of light I through a lake at a depth of x meters is given by the following formula. dl =(-2,47)| dx (a) At what depth is the intensity of the light half that of the intensity at the surface, lo? (b) At 6 meters deep, what is the intensity of the light as a fraction of I,? (c) How many meters deep will the intensity of light be 1% of the intensity of the light at the surface?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.2: Applications Of Exponential Functions
Problem 62PS
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The intensity of light I through a lake at a depth of x meters is given by the following formula.
dl
=(-2,47)|
dx
(a) At what depth is the intensity of the light half that of the intensity at the surface, lo?
(b) At 6 meters deep, what is the intensity of the light as a fraction of I,?
(c) How many meters deep will the intensity of light be 1% of the intensity of the light at the surface?
Transcribed Image Text:The intensity of light I through a lake at a depth of x meters is given by the following formula. dl =(-2,47)| dx (a) At what depth is the intensity of the light half that of the intensity at the surface, lo? (b) At 6 meters deep, what is the intensity of the light as a fraction of I,? (c) How many meters deep will the intensity of light be 1% of the intensity of the light at the surface?
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