Research shows that the radioactive isotope Caesium- 137 has a half-life of 30.17 years Use the following to construct a function that will model the amount of Caesium-137 remaining after t years, from an initial amount of 15 kg. Q(t) = Pert Where Q(t) describes the amount of Caesium-137 remaining after t years from an initial quantity of P kg. 1. Q(t) = 2. How long (in years) will it take for the amount of Caesium-137 remaining to reach 4 kg?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
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Research shows that the radioactive isotope Caesium-
137 has a half-life of 30.17 years
Use the following to construct a function that will
model the amount of Caesium-137 remaining after t
years, from an initial amount of 15 kg.
Q(t) = Pert
Where Q(t) describes the amount of Caesium-137
remaining after t years from an initial quantity of P kg.
1. Q(t) =
2. How long (in years) will it take for the amount of
Caesium-137 remaining to reach 4 kg?
Transcribed Image Text:Research shows that the radioactive isotope Caesium- 137 has a half-life of 30.17 years Use the following to construct a function that will model the amount of Caesium-137 remaining after t years, from an initial amount of 15 kg. Q(t) = Pert Where Q(t) describes the amount of Caesium-137 remaining after t years from an initial quantity of P kg. 1. Q(t) = 2. How long (in years) will it take for the amount of Caesium-137 remaining to reach 4 kg?
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