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Unformatted text preview: * , _—————————.______._____————___.__——.__——___ MATH 110 EXAM #1A OCTOBER 1, 2003 NAME SECTION SHOW ALL WORK! [4] 1. (a) Find two points which lie on the line x = 7. [2] (b) What is the slope of a horizontal line? [4] (c) Find an equation of the line passing through (4, —5) with slope “é‘. Put into slope-intercept form. [6] (d) Find an equation of the line passing through (—4,3) and parallel to the line given by 18x + 3y = —8. Put into slope-intercept form. [10] 2. The number of online shopping transactions in the United States increased from 350 million transactions in 2000 to 450 million transactions in 2002. Find a linear model for ——y, the number of online shopping transactions in year x. Let x = 0 correspond to the year 2000. mrh:9/03 a:110x1af03 [4] [2] [4] [6] [4] [4] 4. (a) (b) (C) (d) The Audubon Society at Enormous State University is planning its annual fund raising ”Eatathon”. The only expenses the society will incur are the cost of the pasta, which is $.15 per serving, and fixed costs of $350. Find a linear equation to express the total cost, C, of making x servings. The society will charge students $.50 per serving for the pasta. Find the linear equation for revenue, R, for selling x servings. How many servings must the society produce and sell to break-even? How many servings must be produced and sold to make a profit of $280. A survey of college students eating habits asked how many donuts they consumed in the last 14 days. The results are shown below. (a) (b) Create a stem-and-leaf plot from this data. 39241064121410 What is the mean of the number of donuts consumed. For number 5, round answers to 3 decimal places 5. The following table gives the number of cameras sold by Polaroid in the years 1990 - 1997: Year 1990 1991 1992 1993 1994 1995 1996 1997 Cameras Sold (millions) 8.1 7.5 5.9 6.1 6.3 5.2 5.0 5.0 [5] (a) Find the median number of cameras sold per year. [5] (b) Using least squares linear regression find the ”best-fit” line for this data. Let x = the number of years since 1990, (ie, x = 0 represent 1990, x = 1 represent 1991, etc.) Let y = number of cameras sold. Equation of Line: —————_——h_ [5] (0) According to the model found in part (b), how many more or fewer cameras would you expect to be sold each additional year? [5] (d) What is the x—intercept? What does this represent in terms of this model? [5] (e) According to the model in part (b), how many cameras would you expect to be sold in the year 2000? [5] (f) Does the line fit the data well? Justify your answer. [10] 6. Find all solutions of the given systems of equations. If no solution exists, so state. (a) 236—2)} = 4 (b) 3x+2y = 4 x+y=—6 2x+3y=1 [10] 7. In March 2002 Cisco (CSCO) stock rose from $15 to $16, and America Online-Time Warner (AOL) dropped from $25 to $24. If you invested to total of $6500 in these stocks at the beginning of March and sold them for $6400 at the end of March, how many shares of each stock did you buy? (Define variables, set up equations, and solve.) HONOR PLEDGE: I pledge on my honor that l have not given or received any unauthorized assistance on this examination or assignment. Please write the exact wording of the pledge, followed by your signature, in the space below: Signature ...
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