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Pre-Cal 40S April 30, 2009

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Darren Kuropatwa
Darren Kuropatwa

The document discusses exponential modeling and provides examples of exponential growth problems. It asks the reader to assume that 1 tribble produced 1,771,561 tribbles in a certain amount of time and to determine how long it would take. It also provides population growth examples for Winnipeg and investment/decay examples involving exponential functions.

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More about Exponential Modeling Fossil 2
The Trouble With Tribbles or ... more about exponential modeling tribbles by flickr user tr67
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
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?
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.
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.
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.
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.
Consider the graph of and sketch the graph of ... Identify the asymptote of each graph above.
Solve each of the following ...
Consider the graph of and sketch the graph of ...
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?
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?
Try these now ...

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Pre-Cal 40S April 30, 2009

  • 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?