Exam 3 Project  Chapters 4 and 8: 

As a review, it is recommended that you complete & submit this assignment before taking the exam. Due Date: The original post is due by 11:59pm three (3) days before Exam 3 is due. Replies are due by 11:59pm of the last day that Exam 3 is due. 

Introduction 

Project: This project will enable you to research a subject that you are interested in that has exponential growth and explore what it means for a value to grow exponentially. It will also provide insight into a system of equations and how two graphs relate to each other.
This project requires that you use TED TALKS (http://www.ted.com/), a site with a wide variety of informational videos for your use free of charge. The videos at the site may be used any time to further your understanding of various topics. These talks do not show you specific steps for working a problem (as did the videos at the PatrickJMT site), but they discuss general topics, including those relating to mathematics.


Activity/Process and Grading (total = 50 (40 + 5 + 5) points) 

Complete all of the following activities using TED TALKS (http://www.ted.com/). You will submit your work to Exam 3 Project forum in Blackboard. Only submit your work in one of the following ways:
This assignment is REQUIRED and will only be graded if resources and conclusion are part of the project. The point values for each section are noted below with an additional 10 points for replies to classmates. You are required to review at least two classmates’ projects and post a substantive reply to each (5 points for each reply for up to a total of 10 points). “Good Job” or “I didn’t think of that” will not do. You must post a followup question, an observation, make a suggestion, or apply some additional insight to what your classmate has posted. It is NOT your place to point out or correct errors. If you find an error that needs correcting, email your instructor for verification and the instructor will contact the student if your observation is correct. To get started:
Describing An Exponential Functions and A System of Equations: 10 points Write several sentences describing what the talk was about and what you learned in your own words. Don’t forget to mention the exponential and linear growth described. State a description of what the input and output are as discussed in the video. On the graph, as the xvalues move to the right along the xaxis, notice what is happening to the yvalues. Describe what each graph represents. Then state a description of what the input and output are of each graph as discussed in the video. On the graph, as the xvalues move to the right along the xaxis, notice what is happening to the yvalues. Describe this change in both graphs. In the last paragraph, discuss the point where these two graphs meet and state what that point represents in the real world. Discovering a real life example: 10 points Recall the definition of an exponential function. Review the real life example at the end of the project and answer the questions that will help you describe it with as much detail as possible.
You will graph the function, determine the domain, find function values for random xvalues and put the points in functional notation. You will also determine where the function is increasing and decreasing.
Expanding on your own real life example: 10 points Write a real life description for exponential growth or decay. Make sure you share a picture of what you found in a graph format. Just as you did when you discovered a real life example for a quadratic function in the previous project, provide an accurate and complete description of this exponential function. Will your real life example represent how money grows in a bank account when subject to interest dividends, how the population of a city or the world grows, the growth of cancer cells, or the growth of the number of cellphone subscribers over some period of time? Or will it be the decay of a radioactive substance? Note: this last example is actually exponential decay not growth but either is acceptable. You decide. Be creative! Showing cost and revenue: 10 points Profit is defined as Cost minus Revenue, or P = C  R. Find an example showing cost and revenue in a textbook or on the internet. Share a picture of the graphs for cost and revenue on one coordinate system. Then discuss the input and output of each graph and describe what happens to the output as the input moves to the right along the xaxis in each graph. State the point at which the two graphs meet and describe what this means in your real life example.
Write a summary (minimum of 3 sentences) of what you learned doing this project. Remember to list any resources you used for this project including books and or internet sites.
EXAMPLE
Recent data from past years indicate that future amounts of carbon dioxide in the atmosphere may grow according to the table below. (Amounts are given in parts per million, or ppm.) For healthy adults, CO_{2} becomes toxic when it reaches a level higher than 35 ppm with continuous exposure over an eight hour period. Some of the symptoms of carbon dioxide poisoning are high blood pressure, chest pains, headaches, seizures, and memory problems. Can you imagine if we all had these symptoms?
C(x) = 0.001942e^{0.00609x} where the x is the year. Using your graphing calculator, graph this function along with your scatterplot of the data. (Press the Y= button and enter the function as Y1.) Sketch this graph. According to the model, what year will the levels of carbon dioxide be 375, about 600, and about 1000? Does this line up with the data we have? To graph only the y equation inputted, go to 2^{nd} Y= and select Plot1 off.

Subject  Mathematics 
Due By (Pacific Time)  05/03/2014 12:00 am 
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