The half-life of a certain substance in an aquatic environment is about 150 years. Which of the following exponential functions best models the amount A(t), in grams, of the substance that remains t years after 200 grams of the substance is applied to the aquatic environment? (The half- life is the length of time needed for an amount of the substance to decrease to one-half of that amount.) 200 A) A(C)-150()지 |2001 B) A(t) = 150|) 150t C) A(t) = 200 150 D) A(t) = 200

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The half-life of a certain substance in an aquatic
environment is about 150 years. Which of the
following exponential functions best models the
amount A(t), in grams, of the substance that
remains t years after 200 grams of the substance
is applied to the aquatic environment? (The half-
life is the length of time needed for an amount of
the substance to decrease to one-half of that
amount.)
200
A) A(t) = 150)
|2001
B) A(t) = 1501)
150t
C) A(t) = 200
D) A(t) = 200(150
Transcribed Image Text:15 The half-life of a certain substance in an aquatic environment is about 150 years. Which of the following exponential functions best models the amount A(t), in grams, of the substance that remains t years after 200 grams of the substance is applied to the aquatic environment? (The half- life is the length of time needed for an amount of the substance to decrease to one-half of that amount.) 200 A) A(t) = 150) |2001 B) A(t) = 1501) 150t C) A(t) = 200 D) A(t) = 200(150
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