HONOR STATEMENT . SIGNATURE: Do not open the test until instructed to do so. Please turn your cell phone OFF now.

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1 \_,,u:l...l\a,_,' (M:...::.-=S QUIZ Section: STUDENTID: Math 111 Final Exam, Autumn 2013 HONOR STATEMENT "I affirm that my work upholds the highest standards of honesty and academic integrity at the University.of Washington, and that I have neither given nor received any unauthorized assistance on this exam.". SIGNATURE: Do not open the test until instructed to do so. Please turn your cell phone OFF now. This exam consists of this cover sheet followed by eight problems on nine pages. When the test starts,. check that you have a complete exam. This exam is closed book. You may use one double-sided, handwritten x 11 page of notes, a ruler, and a calculator. Put everything else away. You may not share notes. Unless otherwise indicated, you must show your work and your answers. The correct answer with incomplete or missing supporting work may result in no credit. If you use a guess-and-check method when a better method is available, you may not receive full credit. On graph-based problems, show your work clearly by marking all lines and points that you use. Place your final answer in the indicated spaces. Unless otherwise specified, you may round your final answer to two digits after the decimal. Do NOT round off before your final answer. If you need more room, use the backs of the pages and indicate to the grader that you have done so. Problem Total Points Score Total 100

2 Math 111 Final Exam Autumn 2013,\>\ Lc\ // 1. (10 points) The following graph shows the distance, in miles, traveled by a Truck a minute_ / Draw and label all the lines you use on the graph provided. Recall that 1 hour 60 minjlms. / 0 11! 21! SO ! 150 HID 170!liD (} mimites (a) Estimate the Average Speed of the Truck during the last 90 minutes of its journey. 2'5V- 100 miles per minute (b) Find a 2 hour time interval when the Average Speed of the truck is 1 mile per minute. t I 0 for i:: 1 bux b_- t \ = o<. ANSWER: From t = q 1) tot= minutes (c) Find the Average Speed of the Truck during the 1 minute interval at the end of the 2nd hour of its?jq _ (,o.aoo -10 ANSWER: _1_._2.,_-+ 0_. _\ miles per minute (d) If a Car starts at the same place as the Truck and goes at a constant speed of 1.25 miles per minute, when will it catch the Truck? f'v lll ANSWER: After (e) Estimate the greatest distance between the Car in part (d) and the Truck. 4;t a 'oou:t II 0 fy\\1\u\!} u\tf.l"', _ \ 1 o{ l-, l. 5 Y't) \ \J!, J.'l,jq.±\0 ANSWER: ----'j_o<:... miles \ '\ O

3 Math 111 Final Exam Autumn (12 pts) Below is the graph of the Total Cost for producing q Label the lines you draw. 19 li H o 25 so 15 too ns too 425 -t5o.f qumlity Note that the total cost is in THOUSANDS of dollars. Include units in your answers. (a) Estimate the' Average Cost at 150 Pragmas. I$\$ 0 \ 'X ll ooo 5q.o3 (b) Estimate the Breakeven Price. ANSWER: -----=--5 _q o d o_\ OlS l 5"5 (c) Estimate the Variable Cost of producing 550 Pragmas.. Vt{5 TC(55o)- FL 000 -'boo\) -::: \I 000 ANSWER: I/ 0 50!: dol/urs (d) At approximately how many Pragmas is the Average Variable Cost (AVC) equal to 30 tw..cat\o I 1000 d.ollars per Pragma? { \ \ ( 1, OO 3 t 00 )('D):. ( 1 \ M u.\>o'lk 1\0 LIO l + t5. ANSWER: 10 - _

4 Math 111 Final Exam Autumn (14 points) The Average Variable Cost and Marginal Cost (in dollars per item) for producing q Whatnots are given by the following formulas: AVC(q) = 0.004q 2-3q MC(q) = 0.012q 2-6q (a) If the Total Cost of producing 400 Whatnots is $96,000, what is your Fixed Cost? C -::. TC ( qoo) - V C -:::: qb,ooo- 1.0,ooo t ANSWER: $ '1 0 I 0 00 (c) What is the value of TC(351)- TC(350)? - ::mc{o5o) 2-, ) _ lo -:;. o.o1"-lo5o) -b(j\o tlsd =-' ANSWER: I _7_._) dollars per Whatnot ANSWER:!..\ ANSWER: $ \

5 Math 111 Final Exam Autumn (10 points) Do not round answers in the following questions. Use fractions when necessary. (a) Solve for x the following equation: ( 'bx-6) ( 7- +4) /3x- 6) \JL -=- b +\?..X -24?- _ \'A')L -=- + q 1 b -:t 4 q t-=- 33» Cf j I I,.. ANSWER: X =.3L.. (b) Find the equation of the line through the two points (2, 3) and ( -5, 12). Give your answer in the form y = mx + b. What do m and b stand for? -.:t.. X- -l- ANSWER: y = "}-. 1: m is the SlupC..,, and b is the \If\\( Ht p\-

MATH 112 Final Exam, Spring Honor Statement

MATH 112 Final Exam, Spring Honor Statement NAME: QUIZ Section: STUDENT ID: MATH 112 Final Exam, Spring 2013 Honor Statement I affirm that my work upholds the highest standards of honesty and academic integrity at the University of Washington, and