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Pre-Calculus Practice Problem 84

Pre-Calculus Practice Problem 84 - (1000’s of years 0 1 2...

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Unit 3, Activity 1, The Four Representations of Exponential Functions Blackline Masters, Advanced Math-Pre-Calculus Page 82 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. 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 after t thousands of years. Let 0 A = 15.3 cpm/g. a) Fill in the table below: Age of object
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Unformatted text preview: (1000’s of years) 0 1 2 3 4 5 6 7 8 9 10 12 15 17 Amount of C14 (cpm/g) 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) Use the graph and the table above to answer the questions below. Check your answer by using the given equation. d) How long does it take for the amounts of Carbon 14 in each sample to be halved? e) Charcoal from the famous Lascaux Cave in France gives a count of 2.34 cpm. Estimate the date of formation of the charcoal and give a date to the paintings found in the cave. 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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