When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity of the incident beam. Find the constant of proportionality k, where = kl. dit k What is the intensity of the beam 13 feet below the surface? (Give your answer in terms of I- Round any constants or coefficients to five decimal places.)

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