Pre-Cal 40S April 30, 2009
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Pre-Cal 40S April 30, 2009

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Exponential Modeling, logs and exponents review workshop to prepare for test tomorrow.

Exponential Modeling, logs and exponents review workshop to prepare for test tomorrow.

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Pre-Cal 40S April 30, 2009 Presentation Transcript

  • 1. More about Exponential Modeling Fossil 2
  • 2. The Trouble With Tribbles or ... more about exponential modeling tribbles by flickr user tr67
  • 3. Is Spock telling the truth? Spock says: • total of 1 771 561 tribbles • started with 1 tribble • each tribble produces 10 tribbles/litter every 12 hours • they did this for 3 days
  • 4. What if a little more than 3 days have passed? How much time has actually passed? HOMEWORK Assume a total of 1 771 561 tribbles, how long would it take 1 tribble to produce that many?
  • 5. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (a) Write an equation to represent the population of Winnipeg, P, as a function of the number of years, y, since 1999.
  • 6. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (b) Calculate how many years it would take for the population to double.
  • 7. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (c) Calculate when the population will reach 1 million.
  • 8. In 1999, the population of Winnipeg was 630 700, and was increasing at the rate of 0.54% per year. (d) Write the equation in part (a) as an exponential function with base 2. (e) Write the equation in part (a) as an exponential function with base e.
  • 9. Consider the graph of and sketch the graph of ... Identify the asymptote of each graph above.
  • 10. Solve each of the following ...
  • 11. Consider the graph of and sketch the graph of ...
  • 12. A $5000 investment earns interest at the annual rate of 8.4% compounded monthly. a) What is the investment worth after one year? b) What is it worth after 10 years? c) How much interest is earned in 10 years?
  • 13. A radioactive substance decays at a daily rate of 0.13. How long does it take for this substance to decompose to half its size?
  • 14. Try these now ...