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The euphotic zone is the upper 200 m layer of the oceans. Very little sunlight penetrates deeper than 200 m, so most plants live in the euphotic zone. As a result, 70% of all photosynthesis on Earth occurs in the euphotic zone of the oceans. The following table gives light penetration data for the location in the Pacific Ocean. Depth (m) Penetration of Sunlight (%) 0.01 100 20 54.37 40 29.57 60 16.08 80 8.74 100 4.76

The euphotic zone is the upper 200 m layer of the oceans. Very little sunlight penetrates deeper than 200 m, so most plants live in the euphotic zone. As a result, 70% of all photosynthesis on Earth occurs in the euphotic zone of the oceans. The following table gives light penetration data for the location in the Pacific Ocean. Depth (m) Penetration of Sunlight (%) 0.01 100 20 54.37 40 29.57 60 16.08 80 8.74 100 4.76

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 3TU
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The euphotic zone is the upper 200 m layer of the oceans. Very little sunlight penetrates deeper than 200 m, so most plants live in the euphotic zone. As a result, 70% of all photosynthesis on Earth occurs in the euphotic zone of the oceans. The following table gives light penetration data for the location in the Pacific Ocean. Depth (m) Penetration of Sunlight (%) 0.01 100 20 54.37 40 29.57 60 16.08 80 8.74 100 4.76 a. Determine the equation of the logarithmic regression by using LOG or LN function on your TI-83 Plus graphic calculator. b. Using your equation obtained from a), determine the depth with a sunlight penetration of 35%. Express your answer to the nearest tenth of meter.
Transcribed Image Text:The euphotic zone is the upper 200 m layer of the oceans. Very little sunlight penetrates deeper than 200 m, so most plants live in the euphotic zone. As a result, 70% of all photosynthesis on Earth occurs in the euphotic zone of the oceans. The following table gives light penetration data for the location in the Pacific Ocean. Depth (m) Penetration of Sunlight (%) 0.01 100 20 54.37 40 29.57 60 16.08 80 8.74 100 4.76 a. Determine the equation of the logarithmic regression by using LOG or LN function on your TI-83 Plus graphic calculator. b. Using your equation obtained from a), determine the depth with a sunlight penetration of 35%. Express your answer to the nearest tenth of meter.
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