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Applications of Exponential Growth or Decay Precalculus Project You have studied Exponential growth and decay functions. You will now investigate...

Exponential growth and decay in Marketing (Marketing examples)

Applications of Exponential Growth or Decay Precalculus Project You have studied Exponential growth and decay functions. You will now investigate this topic in detail for the next weeks and will make a final presentation. 1. You will be researching this topic for the Background (History; who, why, what) Applications in the real world. (General applications in 2-3 areas) 2. You will identify how it can be used specifically in one of the following fields: Health (disease control) Nuclear Reaction Seismology, Geology Human Resources (population growth) Marketing Finances (banking and interest) Environmental Science (ecology, waste management) Computer Science (internet traffic) 3. You will define the following in your own words terms and explain the relevance : Initial amount Principal Rate Doubling time Half-life Natural base e 4. You will find one real world problem, see #2 above, and apply the method of exponential growth or decay to solve a problem. You will identify what the problem is showing all steps in the process and find a solution. You will use multiple representation of the problem; tables, graphs, function models (equations f(x)). You may use excel or the graphing calculator but the process used must be included in your presentation. Specifically, I am looking for a presentation of 10-12 minutes. It will include all of the above. If the worked out problem includes any technology, (graphing calculator, spreadsheet, etc.) a printout should be included. It will be presented in class the week before the final exam and will count as half (50%) of your final exam grade. Extra Credit: Find a book that could be used as an “anchor text” for your senior project which goes into detail on this topic and discusses the many applications of exponential growth and decay.
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General Rubric 5 points = goes above and beyond, I’ve been dazzled 4 points = completed all required items 3 points = not completed, parts are missing but purpose is clear 2 points = attempt made, but not following directions 1 point = does not follow directions 0 points = nothing turned in Specific Rubric Points Possible Points given Part 1 Background 5 X 4 =20 X 4 Part II Specific Field of Study 5 X 4 =20 X 4 Part III Grammar 5 X 4 =20 X 4 Part IV Real World Problem 5 X 4 =20 X 4 Presentation Appearance “Dazzle points” 5 X 4 =20 X 4 Extra Credit 5 Totals
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