Name ________________________________ I.D. Number ____________________ Project 1 Evaluation 31 Advanced Algebra 2 (MTHH 040 058) Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your teacher for grading. Don’t forget to put your name and I.D. number at the top of this page! Use Online Submission Now it is time to complete a Project for this course. Be sure to follow all the directions carefully when completing your Project. This project contains a possible 100 points and counts for 8% of your final course grade. To complete this project, and submit it electronically, you will need to download and save this editable copy of the project on your computer, complete it using your word processing program, and save it in either .rtf or .doc format for uploading, or print it, complete it on paper, then scan it to either .rtf or .pdf for uploading. **You may use the equation editor feature or drawing tools in your word processing to complete your project for electronic submission. Please be aware that you are responsible for learning to use these tools and for completing ALL parts of your project prior to submission.** This project contains activities, as well as questions for you to answer. Follow all the directions carefully. You will not receive all the points possible if you do not answer each question completely. Feel free to add more space or extra pages to this project if you need them. If you choose to submit your project by mail, see the Mail Submission instructions under the Project Submission link on the WayCool homepage. Your graphing calculator may be used on this project. You may also use scratch paper to work out the solutions. Be sure to answer each question fully. You may add more space if you need it. Project 1 89 MTHH 040 Part A – Fitting Exponential Curves to Data (possible 15 points) Do the Activity Lab on page 438 in your textbook. Follow the steps for the Activity; then use your graphing calculator to find the exponential function that best fits each set of data. **You can sketch your graphs on paper, export them from your graphing computer and insert them into this document, or re-create them in a drawing program and insert the images. 1. 2. 3. 4. 5. 6. a. b. Project 1 90 MTHH 040 Part B – Reasonable Context (possible 15 points) Do the Vocabulary Builder exercises on page 460 of your textbook. After solving a real-world problem, we can check whether the answer is reasonable. Read through the two examples to understand what is a reasonable answer for the given context; then complete exercises 1-7. 1. 2. 3. 4. 5. 6. 7. Part C – Linear and Exponential Models (possible 10 points) Do the Activity Lab exercises on page 469 of your textbook. We can transform an exponential function in to a linear function by taking the logarithm. y  ab x Write the general form of an exponential function. log y  log ab x log y  log a  x log b Take the logarithm of each side. log y   log b  x  log a Project 1 Product property and power property. Rewrite. 91 MTHH 040 Follow through the 3 steps of the activity to decide if an exponential function is a good model. Do exercises 1-3 on page 469. 1. 2. 3. Part D – Linear and Exponential Models (possible 25 points) Do the Activity Lab exercises on pages 484-485 of your textbook. We know that the world’s population has increased from less than 2 billion in 1900, to more than 6 billion in 2000. Using the population graph in your textbook, and the equation, P (n )  2515k n , where n = number of years since 1950, k = growth factor, and P(n) = population in millions, answer all the Activity questions. a. b. c. d. e. f. g. h. Project 1 92 MTHH 040 Part E – Rational Inequalities (possible 35 points) Do the Activity Lab on page 528 of your textbook. We can multiply both sides of a rational inequality by the same expression, but sometimes we not only have extraneous solutions, but we can lose solutions! Answer all the questions in the Activity Lab (1 – 17). Activity 1: 1. 2. a. b. c. d. 3. Activity 2: 4. 5. 6. 7. Activity 3: 8. 9. 10. Project 1 93 MTHH 040 Exercises: 11. 12. 13. 14. 15. 16. a. b. 17. a. b. Project 1 94 MTHH 040
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