Pre-Calculus Practice Problem 87

Pre-Calculus Practice Problem 87 - after t thousands of...

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Unit 3, Activity 1, The Four Representations of Exponential Functions with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 85 Comprehensive Curriculum, Revised 2008 c) Determine whether each of the following table of values could correspond to a linear function, an exponential function, or neither. i) neither ii) linear iii) exponential 2. Carbon dating is a technique for discovering the age of an ancient object by measuring the amount of Carbon 14 that it contains. All plants and animals contain Carbon 14. While they are living the amount is constant, but when they die the amount begins to decrease. This is referred to as radioactive decay and is given by the formula t o A A ) 886 (. = A o represents the initial amount. The quantity “ A ” is the amount remaining
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Unformatted text preview: after t thousands of years. Let A = 15.3 cpm/g. a) Fill in the table below: Age of object (1000’s of years) 0 1 2 3 4 5 6 7 8 9 10 12 15 17 Amount of C14 (cpm/g) 15.3 13.56 12.01 10.64 9.43 8.35 7.4 6.56 5.81 5.15 4.56 3.58 2.49 1.95 b) Sketch a graph using graph paper. c) There are two samples of wood. One was taken from a fresh tree and the other from Stonehenge and is 4000 years old. How much Carbon 14 does each sample contain? (answer in cpms) Reading from the table: The fresh wood will contain 15.3 cpm’s of Carbon 14 while the wood from Stonehenge will contain 9.43 cpm’s of Carbon 14. i) x f( x ) 0 10.5 1 12.7 2 18.9 3 36.7 ii) x f( x ) 0 27 2 24 4 21 6 18 iii) x f( x ) -1 50.2 0 30.12 1 18.072 2 10.8432...
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This note was uploaded on 10/10/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

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