Suppose a given set of data can be estimated by this exponential model: ? = 68 ∗ ?−0.13?. a) Rewrite this model in the form ? = ? ∗ (% ?????????)?. b) Determine the approximate half-life using this model (approximate the half-life to 1 decimal place). c) Explain how you determined this half-life value

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Suppose a given set of data can be estimated by this exponential model: ? = 68 ∗ ?−0.13?. a) Rewrite this model in the form ? = ? ∗ (% ?????????)?. b) Determine the approximate half-life using this model (approximate the half-life to 1 decimal place). c) Explain how you determined this half-life value.
Bh Exponential Mc X
Bb Half Life.pdf
O (671) Rewrite t X
O (671) How do y x
-kboard Lea x
TH-1122-007-51277-SP-2021/db/_7102090_1/Half%20Life.pdf
1 / 2
100%
+
1) Suppose a given set of data can be estimated by this exponential model:
y = 68 * e-0.13x
a) Rewrite this model in the form y = a (% remaining)*.
b) Determine the approximate half-life using this model (approximate the half-life to 1
decimal place).
c) Explain how you determined this half-life value.
2) Half-Life form of an exponential model. Just like we can have an exponential model of the form
y = a• ebx as well as the more "intuitive" form we discussed
0romaininaX there icanother faiel.common form evnonential models.cantake
Transcribed Image Text:Bh Exponential Mc X Bb Half Life.pdf O (671) Rewrite t X O (671) How do y x -kboard Lea x TH-1122-007-51277-SP-2021/db/_7102090_1/Half%20Life.pdf 1 / 2 100% + 1) Suppose a given set of data can be estimated by this exponential model: y = 68 * e-0.13x a) Rewrite this model in the form y = a (% remaining)*. b) Determine the approximate half-life using this model (approximate the half-life to 1 decimal place). c) Explain how you determined this half-life value. 2) Half-Life form of an exponential model. Just like we can have an exponential model of the form y = a• ebx as well as the more "intuitive" form we discussed 0romaininaX there icanother faiel.common form evnonential models.cantake
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