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Environmental scientists measure the intensity of light at various depths in a lake to find the "transparency" of the water. Certain levels of transparency are required for the biodiversity of the submerged macrophyte population. In a certain lake the intensity of light at depth x is given by I = 14e-0.001x where I is measured in lumens and x in feet. (a) Find the intensity I at a depth of 10 ft. (Round your answer to two decimal places.) lumens (b) At what depth has the light intensity dropped to I = 7? (Round your answer to one decimal place.) ft

Environmental scientists measure the intensity of light at various depths in a lake to find the "transparency" of the water. Certain levels of transparency are required for the biodiversity of the submerged macrophyte population. In a certain lake the intensity of light at depth x is given by I = 14e-0.001x where I is measured in lumens and x in feet. (a) Find the intensity I at a depth of 10 ft. (Round your answer to two decimal places.) lumens (b) At what depth has the light intensity dropped to I = 7? (Round your answer to one decimal place.) ft

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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Environmental scientists measure the intensity of light at various depths in a lake to find the "transparency" of the water. Certain levels of transparency are required for the biodiversity of the submerged macrophyte population. In a certain lake the intensity of light at depth x is given by I = 14e-0.001x where I is measured in lumens and x in feet. (a) Find the intensity I at a depth of 10 ft. (Round your answer to two decimal places.) lumens (b) At what depth has the light intensity dropped to I = 7? (Round your answer to one decimal place.) ft
Transcribed Image Text:Environmental scientists measure the intensity of light at various depths in a lake to find the "transparency" of the water. Certain levels of transparency are required for the biodiversity of the submerged macrophyte population. In a certain lake the intensity of light at depth x is given by I = 14e-0.001x where I is measured in lumens and x in feet. (a) Find the intensity I at a depth of 10 ft. (Round your answer to two decimal places.) lumens (b) At what depth has the light intensity dropped to I = 7? (Round your answer to one decimal place.) ft
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