A lab has been storing a radioactive substance fro a number of years. Here is a table showing the amount in grams over time.  years 1960 1970 1980 1990 Amount 500 300 180 108   a) Show that the data can be modeled by an exponential function. b) Find the exponential function that models the amount of radioactive material by hand. You will need to choose your variables and identify what each represents.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A lab has been storing a radioactive substance fro a number of years. Here is a table showing the amount in grams over time. 

years 1960 1970 1980 1990
Amount 500 300 180 108

 

a) Show that the data can be modeled by an exponential function.

b) Find the exponential function that models the amount of radioactive material by hand. You will need to choose your variables and identify what each represents.

c) If the trend persisted, when would you expect to have 20.52 grams left?

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