Sedimentation Devils Lake, North Dakota, has a layer of sedimentation at the bottom of the lake that increases every year. The depth of the sediment layer is modeled by the function D(x) = 20 + 0.24x where x is the number of years since 1980 and D(x) is mea- sured in centimeters. (a) Sketch a graph of D. (b) What is the slope of the graph? (c) At what rate (in cm) is the sediment layer increasing per year?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 48E
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Sedimentation Devils Lake, North Dakota, has a layer of
sedimentation at the bottom of the lake that increases
every
year. The depth of the sediment layer is modeled by the
function
D(x) = 20 + 0.24x
where x is the number of years since 1980 and D(x) is mea-
sured in centimeters.
(a) Sketch a graph of D.
(b) What is the slope of the graph?
(c) At what rate (in cm) is the sediment layer increasing per
year?
Transcribed Image Text:Sedimentation Devils Lake, North Dakota, has a layer of sedimentation at the bottom of the lake that increases every year. The depth of the sediment layer is modeled by the function D(x) = 20 + 0.24x where x is the number of years since 1980 and D(x) is mea- sured in centimeters. (a) Sketch a graph of D. (b) What is the slope of the graph? (c) At what rate (in cm) is the sediment layer increasing per year?
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