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S Math 1090.004 College Algebra Homework 02 Due: 23 January 2013 Name SoLL1or.S Student ID Number: Instructions: • Attach this cover sheet to the front of your homework assignment. • Follow the Homework Guidelines listed on the course webpage. • Solve the Part A problems on your own paper and attach. • Solve the Part B problems listed in this handout and attach. DO NOT WRITE IN THIS TABLE!!! (It is for grading purposes.) Quantity of Completed Homework Problems: Grade: Homework Quiz 1 out of 89 C Reading Assignment: • Chapter 1.3 - • Chapter 1.4 - Text pages 21-26 Text pages 31-36 Part A: • Chapter 1.3 Text pages: 27-30 Problems: 1-4, 16-21, 22-27, 33-35, 40-45, 53-58, 63-65, 74, 75-79, 8082, 86-88, 92-93, 95-97, 99, 102 - • Chapter 1.4 Text pages: 37 40 Problems: 1-4. 9-12, 17-22, 14, 29-31, 66, 68, 69-71, 77-78 - - C Part B: Review of Ch 1.1 and 1.2 1. Solve for x and check your work: c • LLh = — nn&fr c,kooe. 10 6370 6o tK • fltL4J 1-ip • /oL-xJ7 ‘L • n: — - 2(3X)—/O?r x- s(5) ctaZ: (,y-fDXy-z5 5iflip/iJj: 5x 2 C 2. Solve for x and check your work: [Hint: Factor the Denominator] b t)wJ th,ij = — - x+S hp/s, 6oh sLs X—2 7 jI (x3)(x-z)[ OP/? 20 - (<+3)(i) ComnW tna7arlSor (+3)(-2- (sYx- 2) - - (, — s(+3)= —ZO sb-r -I2-Gx—1G-0 (: What “special” step must always be completed with this lem? • CiLck &r 1ht - SôLaor 9in4 x-a*° p oflL,fl: )-•2. x7R bm- in Is 3 Tiw-çfo r type IC) of prob Lt Q(J)171€LTh C 3. The bus fare in a city is $1.25. People who use the bus have an option of purchasing a monthly coupoi book for $21.00. With the coupon book, the fare is reduced to $0.50. (a) Let x represent the number of times in a month the bus is used. ‘Write the algebraic expressions for the total monthly costs of using the bus x times both with and without the coupon book. [Hint: you should have two equations] n boô Cc: W 1 -aJ T 4 0 ntj C (b) Determine the number of times in a month the bus must be used so that the total monthly cost without the coupoii book is the same as the total monthly cost with the coupon. V 5 fl’Lw.fJ I4.5Dx = /.26x &I=.75X LZ 4 4. On two examinations, you have grades of 86 and 88. There is an optional final examination which counts as one grade. You decide to take the final in order to get a course grade of an A, meaning a final average of at least 90. (a) What must you get on the final to earn an A in the course? L 0 cQ 1Th (J2ri dI X i r’.J -‘ t7ix LrLL 90 3/frr X: (b) By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades (i.e. if you do poorly you might bring your grade down). If your final average (including the final) is less than 80, you will lose your B in the course. Describe the grades on the final that will cause this to happen. >(: 4O 5 C. 5. A business discovers a linear relationship between the number of shirts it can sell and the price per shirt. In particular, 20,000 shirts can be sold at $19 each, and 2000 of the same shirts can be sold at $55 each. (a) Write the slope-intercept equation of the demand line through the ordered pairs (20,000 shirts, $19) and (2000 shirts, $55) point 1 (2OoOO, (2oo6 2 ptrt rn — — — 5o0 slDpe N ri: V (x-) - (X_2D00 6Db ° (b) Then determine the number of shirts that can be sold at $50 each. on: - L —SOD _q ) ><‘g -gX -oo(-9) 6 0 n N U-’ x x ic 1k 00 ‘I aQ 1; I, 0 D -t fl d 0 0 ;,. . Oo ‘I Ii ,J -o U) ‘I U, 0 o oQ. D 0 C— I CD C CD CD CyD oo Cl) CID CD — CD CJD CD CD 4 ci 0 _ II Ii >c cJ 3-0 — 0 I ii Oi I a L - + C o C - N /‘ xI p I — - HH I - C — -. I V q) 0