When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The Beer-Lambert-Bouguer law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 75% for each additional meter of depth. (a) Explain why intensity I is an exponential function of depth d in meters. O Intensity I is an exponential function of depth since I increases by an increasing percentage as a function of depth.

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When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The Beer-Lambert-Bouguer law states that the percentage of decrease is the same for each additional
unit of depth. In a certain lake, intensity decreases about 75% for each additional meter of depth.
(a) Explain why intensity I is an exponential function of depth d in meters.
O Intensity I is an exponential function of depth since I increases by an increasing percentage as a function of depth.
O Intensity I is an exponential function of depth since I decreases by a decreasing percentage as a function of depth.
O Intensity I is an exponential function of depth since I decreases by a constant percentage as a function of depth.
O Intensity I is an exponential function of depth since I decreases by an increasing percentage as a function of depth.
O Intensity I is an exponential function of depth since I increases by a decreasing percentage as a function of depth.
(b) Use a formula to express intensity I as an exponential function of d. (Use I, to denote the initial intensity.)
I(d) =
(c) Explain in practical terms the meaning of I.
I, represents the intensity at the surface of the lake
(d) At what depth will the intensity of light be one-tenth of the intensity of light striking the surface? (Round your answer to two decimal places.)
Transcribed Image Text:When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The Beer-Lambert-Bouguer law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 75% for each additional meter of depth. (a) Explain why intensity I is an exponential function of depth d in meters. O Intensity I is an exponential function of depth since I increases by an increasing percentage as a function of depth. O Intensity I is an exponential function of depth since I decreases by a decreasing percentage as a function of depth. O Intensity I is an exponential function of depth since I decreases by a constant percentage as a function of depth. O Intensity I is an exponential function of depth since I decreases by an increasing percentage as a function of depth. O Intensity I is an exponential function of depth since I increases by a decreasing percentage as a function of depth. (b) Use a formula to express intensity I as an exponential function of d. (Use I, to denote the initial intensity.) I(d) = (c) Explain in practical terms the meaning of I. I, represents the intensity at the surface of the lake (d) At what depth will the intensity of light be one-tenth of the intensity of light striking the surface? (Round your answer to two decimal places.)
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