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When a vertical beam of light passes through a transparent medium, that rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In clear sea water, the intensity 3 feet below the surface is 25% of the initial intensity I0 of the incident beam. What is the intensity of the beam 15 feet below the surface?

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This solution goes through growth and decay models within the context of differential equations. The solution is 143 words in length. Relevant calculus equations are considered and is presented in a step-by-step manner for clarity.

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When a vertical beam of light passes through a transparent medium, that rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium ...

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