A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138 days, the amount of polonium left in a sample is half of the original amount. The mass of polonium, in grams, that remains after t days can be modelled by a) Create an algebraic model for the mass of polonium after t days. b) Determine the mass that remains after 5 years. c) How long does it take for this 200 g sample to decay to 110 g?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 15E
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A 200 g sample of radioactive polonium-210 has a
half-life of 138 days. This means that every 138
days, the amount of polonium left in a sample is
half of the original amount. The mass of polonium,
in grams, that remains after t days can be modelled
by
a) Create an algebraic model for the mass of
polonium after t days.
b) Determine the mass that remains after 5 years.
c) How long does it take for this 200 g sample to
decay to 110 g?
Transcribed Image Text:A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138 days, the amount of polonium left in a sample is half of the original amount. The mass of polonium, in grams, that remains after t days can be modelled by a) Create an algebraic model for the mass of polonium after t days. b) Determine the mass that remains after 5 years. c) How long does it take for this 200 g sample to decay to 110 g?
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