MATH 107 QUIZ 5 NAME: INSTRUCTIONS The quiz is worth 100 points. There are 10 problems. This quiz is open book and open notes. This means that you...
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MATH 107 QUIZ 5 NAME: _______________________________ I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS The quiz is worth 100 points. There are 10 problems. This quiz is open book and open notes . This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than Sunday April 30th. Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work. General quiz tips and instructions for submitting work are posted in the Quizzes module. If you have any questions, please contact me by e-mail. 1. (5 pts) Which of these graphs represent a one-to-one function? Answer(s): ____________ ( no explanation required .) (There may be more than one graph that qualifies.) (A) (B) (C) (D) 2. (6 pts) The Human Memory Model approximates the percentage of information the average person can recall after a certain period of months have passed by. One of the models is as follows: f(t) = 75 – 6•ln (t + 1), where 0 ≤ t ≤ 12. In this case, t is the number of months that have gone by after being presented the information (up to one year) and f(t) is the percent of the information retained. In other words, after “t” months, the average person remembers “f(t)” percent of the presented information. Round answers to the nearest tenth of a percent. (a) What percentage was retained 2 months after being presented the information? (b) What percentage was retained at the end of the first year (12 months)?
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3. (5 pts) Convert to a logarithmic equation: 6 x = 1296. (no explanation required) 2. ______ A. log 6 1296 = x B. log x 1296 = 6 C. log x 6 = 1296 D. log 6 x = 1296 4. (8 pts) Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion. 2 x 3 = x 3
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