PracticeTest5

# PracticeTest5 - c In what year will the value of the lot...

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Name: ____________________ PRACTICE TEST 5 1. (10 pts.) Graph: 1 3 ) ( - = x x f . Plot at least 5 points. (**Notice that the “ 1 - x ” is all in the exponent**) 2. (10 pts.) Simplify the following: a. = 16 1 4 log b. = 32 2 log c. = M M log (Prepared by Kathy Williamson) 1

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3. (5 pts. each) Rewrite as an exponential equation and solve: a. 3 log 5 = x b. ( 29 2 log 4 1 - = x 4. (5 pts. each) Solve the following equations. Where appropriate, round your answer to 4 decimal places: a. 4 ln = x b. 95 . 1 2 25 . 0 = - x e c. 1 5 2 4 - = - x e d. 24 3 = x e. 4 ) 7 3 ( log 2 = + x 2
5. (15 pts.) In 1999 Derek invested in a building that cost \$10,000. By 2004, fair-market value for the building was \$19,000. Assume that the value of the lot is increasing exponentially as time goes on. a. Find the value k, and write an exponential function that describes the value of the lot t years after 1999. b. Predict the value of the lot in 2015

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Unformatted text preview: c. In what year will the value of the lot first reach \$35,000? 6. (5 pts.) Rewrite as a single log: z a y a x a log log 2 log 4--3 7. (10 pts.) Approximately one-half of all aluminum cans distributed will be recycled each year. A beverage company distributes 250,000 cans. The number of cans, N , still in use after t years can be approximated by the function: ( 29 t t N 5 . 000 , 250 ) ( = a. After how 4 years, how many cans will still be in use? b. After what amount of time will 10,000 cans still be in use? 8. (5 pts.) Find the inverse function for 7 5 2 ) ( + = x x f 4 9. (10 pts.) If 5 3 ) ( + = x x f and 1 2 ) ( 2-= x x g find a. ( 29 ) ( x g f b. ( 29 ) ( x f g 5...
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