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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
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Natural Logs

Section 8.6

slide2

Evaluate.

Solve.

slide3

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?
slide4

The exponential decay model for Carbon-14 is

  • 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

slide5

Homework

Wkst: word problems

Page 465 #14-38

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Solutions to worksheet 9

  • 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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