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The amount of a certain substance in a chemical compound is given by the function C (t) = 20.6 (1+0.8e-0.12t) - where C(t) is the amount of the substance (in milligrams) and t is the time (in hours). Determine how fast the amount of the substance is changing when t = 2 hours. Round the answer to the nearest tenth.

The amount of a certain substance in a chemical compound is given by the function C (t) = 20.6 (1+0.8e-0.12t) - where C(t) is the amount of the substance (in milligrams) and t is the time (in hours). Determine how fast the amount of the substance is changing when t = 2 hours. Round the answer to the nearest tenth.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
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The amount of a certain substance in a chemical compound is given by the function C (t) = 20.6 (1+0.8e-0.12t where C(t) is the amount of the substance (in milligrams) and t is the time (in hours). Determine how fast the amount of the substance is changing when t = 2 hours. Round the answer to the nearest tenth. Make sure to indicate whether it is increasing or decreasing and include the correct units.
Transcribed Image Text:The amount of a certain substance in a chemical compound is given by the function C (t) = 20.6 (1+0.8e-0.12t where C(t) is the amount of the substance (in milligrams) and t is the time (in hours). Determine how fast the amount of the substance is changing when t = 2 hours. Round the answer to the nearest tenth. Make sure to indicate whether it is increasing or decreasing and include the correct units.
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