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# Natural Logs - PowerPoint PPT Presentation

Natural Logs. Section 8.6. Evaluate. Solve. Carbon-14 is used to study fossil remains. It has a half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

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Presentation Transcript

Section 8.6

Solve.

• Carbon-14 is used to study fossil remains. It has a half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

• Medical research indicates that the risk of having a car accident increases exponentially as the concentration of alcohol in the blood increases. The risk is modeled by: R= , where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 17% risk of a car accident?

• The exponential decay model for Carbon-14 is half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

• Prehistoric cave paintings were discovered in a cave in France. The paint contained 15% of the orginal carbon14. Estimate the age of the paintings.

Log Word Problems

Homework half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

Wkst: word problems

Page 465 #14-38

Solutions to worksheet 9 half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

• a) 88

• b) 71.5, 58.8, 52.03, 49.5

• .08

• a) 203 million

• b) 35.5 years

• c) 49.5 years

• 5.76%

• 18.4 min

• \$100,366.92

• a) 33.5

• b)402.36 days

• 13,1374.3 yrs

• 19.1 years

• 27 years

• 36.02

• \$3093.92

• \$5,654,365,339

• a) 15,678.7 years

• b) 1056.5 years

• c) 24,758 years old

• 6.5% is the rate of decay;

• After 34 years, it is irreversible.

• 16. 50.5 years