document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152200>Question 1152200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that in 2013 the number of vehicle sales in the Ukraine was 233 thousand and in 2018 it was 96 thousand.\r<BR>\n" );
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document.write( "a. Determine the average rate of change (slope) in the number of vehicle sales from 2013 to 2018. Include<BR>\n" );
document.write( "the units. (What does the answer mean?)\r<BR>\n" );
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document.write( "b. If x is the number of years since 2013 and g(x) is the number of vehicles sold, write the equation of the<BR>\n" );
document.write( "line through these two points.\r<BR>\n" );
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document.write( "c. Assuming g(x) is a linear function, use the equation to predict the number of vehicles sold in 2020. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774168 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2018 minus 2013 = 5<BR>\n" );
document.write( "96 minus 233 = -137<BR>\n" );
document.write( "two points are (x1,y1) = (0,233) and (x2,y2) = 5,<BR>\n" );
document.write( "slope is (y2 - y1) / (x2 - x1) = (96 - 233) / (5 - 0) = -137 / 5<BR>\n" );
document.write( "slope intercept form of straight line equation is y = mx + b<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.<BR>\n" );
document.write( "since your slope is -137 / 5, then y = mx + b becomes y = -137 / 5 * x + b<BR>\n" );
document.write( "to solve for b, replace x and y with one of the points.<BR>\n" );
document.write( "i chose (x2,y2) = (5,96)<BR>\n" );
document.write( "equation becomes 96 = -137 / 5 * 5 + b<BR>\n" );
document.write( "simplify to get 96 = -137 + b<BR>\n" );
document.write( "solve for b to get b = 137 + 96 = 233<BR>\n" );
document.write( "the equation becomes y = -137 / 5 * x + 233<BR>\n" );
document.write( "when x = 0, the year is 2013<BR>\n" );
document.write( "when x = 1, the year is 2014<BR>\n" );
document.write( "when x = 2, the year is 2015<BR>\n" );
document.write( "when x = 3, the year is 2016<BR>\n" );
document.write( "when x = 4, the year is 2017<BR>\n" );
document.write( "when x = 5, the year is 2018<BR>\n" );
document.write( "the equation can be called g(x) = -137 / 5 * x + 233 when you let y = g(x)<BR>\n" );
document.write( "the year 2020 is 2 years more than 2018, therefore x = 7 represents 2020.<BR>\n" );
document.write( "when x = 7, the equation becomes y = g(x) = -137 / 5 * 7 + 233 = 41.2.<BR>\n" );
document.write( "that means that 41.2 thousand vehicles are predicted to be sold in the ukraine in 2020 if the straight line trend continues as represented by the equation.<BR>\n" );
document.write( "here's the graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/020803.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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