exam1_1020 - Math 124 Exam 1(10:20 AM Fall 2008 Name...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 124 Exam 1 (10:20 AM) Fall 2008 Name: Section #: PID: Date: 9/15/2008 Instructions: 1. DO NOT OPEN THIS EXAM UNTIL YOU ARE INSTRUCTED TO DO SO. 2. Without fully Opening the exam, check that you have pages 1 through 7 and that none is blank. 3. Fill the information at the top of the page. 4. Neither books nor scratch paper are needed for this exam. Clear your desk of everything but this booklet, your pencils and your calculator. If you need more space to write your solutions, use the backs of the exam pages. 5. Crib sheets (pre- compiled lists of formuias or other information) either written or in a calculator are specifically forbidden Use of a crib sheet ofany kind on this exam will result' in an automatic zero grade. ' ' ' 6. The problems on this exam vary in difficulty. You should try to solve these problems 111 an order that will maximize your score. Solve all the easier problems first, then go back to the ones that require more thought. 7. Unless otherwise indicated, SHOW ALL YOUR WORK. If no work is shown, no partial credit can be awarded. Even for calculator solutions, you should include relevant infiirmatfon, like the equation to be solved, the function whose graph is to be sketched, etc. 8. Please place your answers in the hoxes provided. 9. Unless you are specifically instructed to do otherwise, DO NOT ROUND YOUR ANSWER. 10. You will be given exactly 55 minutes for this exam. I have read and fully understood all of the above instructions Signature: Points 1 E Maximum '13 i 17 l 18 L16 l 14 Math 124 Exam 1 (10:20 AM) Fall 2008 it a xii- i i . M 1. ( '3¢“6fl'0%%t5) The number of sales per month, S is a function of the amount a, (in dollars) spent on advertising that month. So S=f(a) ' i a) lnte 000)23500 ‘ J c . ,7 iii 3 . i x2... A? f“: s/aiif/ifliflt 3Z1 Z I)??? {-3 Q” {9/ it E ; a #72. ‘ 0‘5 “i b) Suppose the number of sales is an increasing function ofthéioncy spent on advertising, but how it increases depends on the amount of the money, For the first 3000 dollars spent on advertising, the number of sales increases in a concave up style while the sales increases in a linear style for the next 2000 dollars. Finally, after 5000 dollars has already spent on advertising, the sales function increases in a concave down style. Please sketch the sales function f(a) below according to the description above. s rnoe[ eoee ' ' - ' ' ‘ /,~<” soon 4000- i i i i scoot (”do ..n .— m. (F i i r r 1 l r?" a 0 1000 2-000 3000 4000 5000 5000 7000' 8000 Give the domain and the range of the sales function you sketched above. Math 124 Exam 1 {10:20 AM) Fall 2808 2. (5+6+6&17 pts) Sales of music compact disks (CD3) increased rapidly throughout the 19905. Saies were 500 million CDs in 1994 and 938 million CD3 in 2000. a) Find a linear formula for CD sales, S, as a function of the number ofthc years, r, since 1991 (Where I = 0 corresponds to 1991.) ' c) What is the vertical intercept of the line found in part (21)? Give units with your answer and interpret it. b.) Math 124 Exam 1 (10:20 AN!) Fall 2008 3. (4+4+4+6=l 8 pts)The following tables shows the population of Japan from 1985 to 2000 .Use the table to answer the fotlowing questions. 2000 2005 Population , , 125 570 126 926 E27 768 in thousands , . ii) If? m,” r {,4- i * " 5y? 1.. a) What is the Change/"r 1n the popuiatioh from 1985 to 1995”? Please give units. as} / :9 l l t? x20 M i‘ J b) Through 1985 to 2005 13 the population of Japan increasing?? {6’ ., Air’j / {:3- MT?” 9‘35 /f U” C) Find. the average rate of change of the population from 1985 and i995? Give units and interpa'et your answer. "x d} Which ofthe following types of functions best fits the above data? Give reasons for you answer? a) Concave up ”Emit: r d L)» oneave own 0) Linear Math 1124 Exam 1 (10:20 AM) Fail 2008 4. (4+4+3+5 = 16 points) A pillow making company has fixed costs of $7500 and variable costs of $2.5 per pillow. The company soils the pillows for $7 per pillow. Let g be the number of pillows. . a) Find formulas for the cost function, C(q), and the revenue function, R(q). "-3: ,... 4 2',” ,1"! {2&0 l ,i n ;( “J { 1w“ X “1:: W}, ..X r. If; F Cf , n- ---- J L41" \k Uri-“1"” " j .i/ Win“- ’ f K ,. "’ 1, k .\ 4,}; ,. fl 3, /: 5 r f” f L0 3 'x K fl; F M5} ,) [ R), W , j (’3 / jig/UM) :jf c) What is the marginal cost and marginal profit? d) Sketch a graph of C(q) and Rn?) on the same axes with an appropriate scale label axes and the bicalooven point. “3"“ ' , l l 1 Wit" ! a L i 1?, 242% flint / l TA ,, s S “i __ ,L__L;_T LWLEEMW / ‘1' tin, All _ , i 1.: : 3' 03¢“ «: Math 124 Exam 1 (10:20 AM) Fall 2008 5. (4 + 10=14 pts) For each ofthe following tables, a.) determine which fuzmtion is linear and which function is exponential. (Make sure to Show your work.) b.) Find the formulas for the linear and the exponential funetion(s) only. “”“C: L/ 3:33 / z r g a a?» J” ".1" I. I? D ’ j § 3/. ‘ . {WM 1“ r 1' A W}; Math 124 Exam 1 (19:20 AM) Fall 2008 6. (Spts) Solve for t using natural logarithms: 7 - 2r = 10 - 3£ I. 5 may _- '1: j- V: a 2... ci‘unction m ihc form P 3 Pee” . What is thé 7. (Spts) For the functionP 3 33(13)’, puét 11 growth rate? 8. (5+7:12 pts) Suppose SB! 000 is invested in an account paying interest compounded continuously at an annual rate of 9%. Find the following: a) Find a formula for the value ofthc account at time t....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern