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Unformatted text preview: MthSc 207 Test 2 – Version A – Answer Key Fall 2007 1 The first part of this test consists of multiple choice questions. Each question has one correct answer. Using a #2 pencil, bubble in the letter of the response that best answers each question on your scantron. For your own record, circle your responses, and note that on this portion, only the scantron answers will be graded. This section will account for 51% of the test grade. 1. The number of cows kept for milk production in the U.S. between 1990 and 1997 is given by c(t) million cows, where t is the number of years after 1990. Which of the following is the interpretation of ∫ c(t)dt 7 =9.6 7 -0 ? (3 pts) a. From 1990 to 1997, the change in the number of cows kept for milk production increased by 9.6 million. b. From 1990 to 1997, the number of cows kept for milk production increased an average of 9.6 million per year. c. From 1990 to 1997, the average number of cows kept for milk production in the U.S. was 9.6 million. d. From 1990 to 1997, the average number of cows kept for milk production increased by 9.6 million. _______________________________________________________________________________ =12(1.035 ) t P(t) million dollars describes the profit of the ACME Corporation, where t is the number of years since the end of 2004. Use this information to answer the next two questions. 2. Based on the information provided, which of the following is an accurate description of the ACME Corporation’s profit? (3 pts) a. Profit was $12 million dollars in 2004 and is increasing by 3.5% per year. b. Profit was $1.035 million dollars in 2004 and is increasing by 12% per year. c. Profit was $12 million dollars in 2004 and is increasing by 1.035 million dollars per year. d. Profit was $12 million dollars in 2004 and is increasing by 103.5% per year. 3. On January 1, 2005 the ACME Corporation began investing all of its profit in an off-shore account earning 7.5% interest, compounded continuously. What will the account balance be at the end of 2007? (4 pts) a. 13.305 million dollars b. 42.446 million dollars c. 42.611 million dollars d. 16.662 million dollars _______________________________________________________________________________ MthSc 207 Test 2 – Version A – Answer Key Fall 2007 2 _______________________________________________________________________________ 4. Consider density function 2 0.75 0.75 when -1 1 ( ) 0 when 1 or 1 x x f x x x - ≤ ≤ = < - . What is ( .5 1) P x- ≤ ≤ ? (4 pts) a. 0.84375 b. 0.625 c. 1 d. 0.78125 5. The Art Department has determined that the number of bowls consumers demand at the annual soup and salad bowl sale fundraiser can be modeled as D(p) bowls and the quantity that the potters can supply can be modeled as S(p) bowls when the market price is p dollars per bowl. The graphs of the two functions intersect at the point (18, 328). Choose the statement that best describes the intersection point. (3 pts) a. At the intersection point there is a shortage of soup/salad bowls since 328 bowls are demanded...
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- Fall '07