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Pre-Calculus Practice Problem 88

Pre-Calculus Practice Problem 88 - The charcoal from the...

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Unit 3, Activity 1, The Four Representations of Exponential Functions with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 86 Comprehensive Curriculum, Revised 2008 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? Fresh wood: the amount of C14 to be halved is 7.65 cpm/g. Both the table and the graph would put the age between 5000 and 6000 years. Wood from Stonehenge: there would be 4.715 cpm/g present. That would put the age between 9000 and 10,000 years. Since this wood is already 4000 years old, the half-life is the same as the fresh wood. It is the same in each case. Using the equation solve t 886 . 2 1 = which is 5700 years 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.
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Unformatted text preview: The charcoal from the caves is about 15,500 years old, so the paintings date back to about 13,500 BC. 3. Each of the following functions gives the amount of a substance present at time t. In each case • give the amount present initially • state the growth/decay factor • state whether or not the function represents an exponential growth model or exponential decay model a) A = 100(1.04) t 100 is initial substance, 1.04 is growth factor, exponential growth b) A = 150(.89) t 150 is initial substance, .89 is the growth factor, exponential decay c) A = 1200(1.12) t 1000 is initial substance, 1.12 is growth factor, exponential growth 4. For each of the following functions state (a) whether exponential growth or decay is represented and (b) give the percent growth or decay rate. a) A = 22.3(1.07) t growth at 7% b) A = 10(.91) t decay at 9% c) A = 1000(.85) t decay at 15%...
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