The radioactive substance cesium-137 has a half-life of 30 years. The amount A (t) (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function t 1 30 A (t) 381 2 Find the amount of the sample remaining after 10 years and after 80 years. Round your answers to the nearest gram as necessary. Amount after 10 years: grams Amount after 80 years: grams ?

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
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The radioactive substance cesium-137 has a half-life of 30 years. The amount A (t) (in grams) of a sample of cesium-137 remaining after t
years is given by the following exponential function
t
1
30
A (t) 381
2
Find the amount of the sample remaining after 10 years and after 80 years.
Round your answers to the nearest gram as necessary.
Amount after 10 years:
grams
Amount after 80 years:
grams
?
Transcribed Image Text:The radioactive substance cesium-137 has a half-life of 30 years. The amount A (t) (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function t 1 30 A (t) 381 2 Find the amount of the sample remaining after 10 years and after 80 years. Round your answers to the nearest gram as necessary. Amount after 10 years: grams Amount after 80 years: grams ?
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