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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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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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