The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of cesium, find a formula for the amount of cesium in the artifact at any time T. Hint: Use y -kT = Yoe Yo is the initial value and k is the decay constant. where –In(2) T y = 100e 30 Y = 100ekT y = 100e30T y = 30e100T

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of
cesium, find a formula for the amount of cesium in the artifact at any time T.
Hint: Use y = Yoe
-kT
where yo is the initial value and k is the decay constant.
-In(2)
·T
y = 100e 30
y = 100ekT
y = 100e307
y = 30e100T
Transcribed Image Text:The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of cesium, find a formula for the amount of cesium in the artifact at any time T. Hint: Use y = Yoe -kT where yo is the initial value and k is the decay constant. -In(2) ·T y = 100e 30 y = 100ekT y = 100e307 y = 30e100T
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