Solutions 1a. The x-value of the ordered pairs represents the number of credit hours and the y-value represents the student. So, the set of ordered pairs for this relation is {(6, Rosa), (6, Sean), (12, Amari), (12, Judith), (15, Aretha), (18, Todd), (18, Julia)}. The domain of the relation is {6, 12, 15, 18} and the range of the relation is {Todd, Amari, Rosa, Julia, Sean, Aretha, Judith}. 1b. The x-value of the ordered pairs represents the number of text messages and the y-value represents the cost. The equation for the relation is y = 0.20x. Since the number of text messages sent or received can be 0, 1, 2, and so on, the domain of the relation is {0, 1, 2, 3, 4, 5, 6, . . .} and the range is {0, 0.20, 0.40, 0.60, 0.80, 1, 1.20, . . .}. 1c. The x-value of the ordered pairs represents the year and the y-value represents the revenue (in millions). The graph is shown. 700 600 500 400 300 200 100 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 The domain is {2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009}, and the range is {318, 319, 358, 380, 451, 475, 500, 520, 589, 643}. Student Check 1 Express each described relation in the requested form. State the domain and range of each relation. For b, use only whole numbers for the input. a. A class was surveyed to find out each student’s declared major. The results are shown in the mapping. Write this relation as a set of ordered pairs. Nursing Engineering Education Biology Business Ann Andre Bryan Burt Kaci Mariam Marcus Neal Tranh b. Skype allows calls from computer-to-computer or computer-to-land line or mobile phone. Calls from computer-to-computer are free but calls made from a computer to phones have an associated cost. Calls from a computer in the United States to a phone in Iraq cost approximately $0.39 per minute. Express the relation between the number of minutes and the associated cost of using Skype to call Iraq from the United States as an equation. (Source: http://www.skype.com/intl/en-us/prices/ payg-rates#cc=IQ) c. The percentage of Americans who are obese (BMI is greater than or equal to 30) is given in the table. Express this relation as a graph. (Source: http://apps.nccd .cdc.gov/brfss/display.asp and http:// www.data360.org/index.aspx) Year Percentage Year Percentage 1995 15.9 2003 22.8 1996 16.8 2004 23.2 1997 16.6 2005 24.4 1998 18.3 2006 25.1 1999 19.8 2007 26.3 2000 20.1 2008 26.6 2001 21.1 2009 27.2 2002 22.2 266 Chapter 3 Linear Equations in Two Variables
hendricks_beginning_algebra_1e_ch1_3
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