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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

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