document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=494751>Question 494751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	The linear equation<BR>\n" );
document.write( " y= 0.18x + 1.41\r<BR>\n" );
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document.write( "represents an estimate of the average cost of gas for year x starting in 2002 (“Consumer price index,” 2011). The year 2002 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 4, or x = 4.<BR>\n" );
document.write( "a.	What year would be represented by x = 10?<BR>\n" );
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document.write( "b.	What x-value represents the year 2022?<BR>\n" );
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document.write( "c.	What is the slope, or rate of change, of this equation?\r<BR>\n" );
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document.write( "d.	What is the y-intercept?\r<BR>\n" );
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document.write( "e.	What does the y-intercept represent?\r<BR>\n" );
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document.write( "f.	Assuming this growth trend continues, what will the price of gasoline be in the year 2025? How did you arrive at your answer?\r<BR>\n" );
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document.write( "4.	The line \r<BR>\n" );
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document.write( " y = 0.18x + 1.41\r<BR>\n" );
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document.write( "represents an estimate of the average cost of gasoline each year. The line \r<BR>\n" );
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document.write( "0.17x - y = 1.21\r<BR>\n" );
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document.write( "estimates the price of gasoline in January of each year (“Consumer price index,” 2011). <BR>\n" );
document.write( "a.	Are the lines to be intersecting, parallel, or perpendicular? How do you know?  Explain your reasoning.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335778 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=335778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I recommend that you do not post ten questions or parts of questions in one post. I can help you get started, and most of these \"parts\" can be solved using intuition.\r<BR>\n" );
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document.write( "3a. 2002 corresponds to x=1, 2003 corresponds to x=2, what year corresponds to x=10? Similarly, for part b, find the x-value that corresponds to 2022.\r<BR>\n" );
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document.write( "Parts c,d,e,f should be answered by using the fact that the line is in slope-intercept form.\r<BR>\n" );
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document.write( "4. Find the slopes of the lines. If they are different, they intersect, and if they multiply to -1, the lines are perpendicular. The lines are parallel or equivalent if the slopes are the same.\r<BR>\n" );
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