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-0.003x where I is measured in lumens and x in feet. (a) Find the intensity I at a depth of 30 ft. (Round your answer to two decimal places.) 14/ lumens (b) At what depth has the light intensity dropped to I = 7? (Round your answer to one decimal place.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.2: Linear Equations In One Variable
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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-0.003x
where I is measured in lumens and x in feet.
(a) Find the intensity I at a depth of 30 ft. (Round your answer to two decimal places.)
14/
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-0.003x where I is measured in lumens and x in feet. (a) Find the intensity I at a depth of 30 ft. (Round your answer to two decimal places.) 14/ 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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