The radioactive properties of the isotope technetium-99m can be used in combination with a tin compound to map circulatory disorders. Technetium-99m has a half-life of 6 hours. Write an exponential decay function that models this situation. The function p(t) should give the percent of the isotope remaining after t hours. a) a). b) Describe domain, range and the end behavior of p(t) as t increases without bound for the function found in part a. b). Write the inverse of the decay function. Use a common logarithm f c) pur final function.
The radioactive properties of the isotope technetium-99m can be used in combination with a tin compound to map circulatory disorders. Technetium-99m has a half-life of 6 hours. Write an exponential decay function that models this situation. The function p(t) should give the percent of the isotope remaining after t hours. a) a). b) Describe domain, range and the end behavior of p(t) as t increases without bound for the function found in part a. b). Write the inverse of the decay function. Use a common logarithm f c) pur final function.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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Transcribed Image Text:The radioactive properties of the isotope technetium-99m can be used in
combination with a tin compound to map circulatory disorders. Technetium-99m
has a half-life of 6 hours.
Write an exponential decay function that models this situation. The
function p(t) should give the percent of the isotope remaining after t hours.
a)
a)
b)
Describe domain, range and the end behavior of p(t) as t increases
without bound for the function found in part a.
b)_
c)
Write the inverse of the decay function. Use a common logarithm for
your final function.
c)_
d)
How long does it take until 5% of the isotope technetium-99m
remains? Round to the nearest tenth of the hour.
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