document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188487>Question 1188487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problems:<BR>\n" );
document.write( "Suppose the sales of Nin Jao study table satisfy the function rule 𝑁(𝑥) = 100(3𝑥 + 20), where 𝑁(𝑥)<BR>\n" );
document.write( "represents the number study tables sold in 𝑥 years, with 𝑥 = 0 corresponding to the production year <BR>\n" );
document.write( "2012. Find the sales in each of the following years:\r<BR>\n" );
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document.write( "a. 2012<BR>\n" );
document.write( "b. 2013<BR>\n" );
document.write( "c. 2018<BR>\n" );
document.write( "d. 2021<BR>\n" );
document.write( "What is the annual rate of change of the sale? Make a table of values for the problem and graph it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819574 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=819574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2012 is the base year.\r<BR>\n" );
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document.write( "when the year is:\r<BR>\n" );
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document.write( "2012, x = 2012 - 2012 = 0, and n(x) = 100 * (3 * 0 + 20) = 100 * 20 = 2000<BR>\n" );
document.write( "2013, x = 2012 - 2012 = 1, and n(x) = 100 * (3 * 1 + 20) = 100 * 23 = 2300<BR>\n" );
document.write( "2018, x = 2018 - 2012 = 6, and n(x) = 100 * (3 * 6 + 20) = 100 * 38 = 3800<BR>\n" );
document.write( "2021, x = 2021 - 2012 = 9, and n(x) = 100 * (3 * 9 + 20) = 100 * 47 = 4700\r<BR>\n" );
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document.write( "the equation of n(x) = 100 * (3 * x + 20) can be graphed.\r<BR>\n" );
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document.write( "i replaced n(x) with y and graphed it, as shown below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/120501.jpg\" >\r<BR>\n" );
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document.write( "the graphing software i used can be found at <a  rel=nofollow HREF= \"https://www.desmos.com/calculator\" target = \"_blank\">https://www.desmos.com/calculator</a>\r<BR>\n" );
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document.write( "this is a linear equations.<BR>\n" );
document.write( "it can be transformed into the slope intercept form of a linear equation as follows:\r<BR>\n" );
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document.write( "replace n(x) with y.<BR>\n" );
document.write( "start with y = 100 * (3 * x + 20)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "y = 100 * 3 * x + 100 * 20<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( "y = 300 * x + 2000<BR>\n" );
document.write( "the equation is now in slope intercept form.<BR>\n" );
document.write( "the slope is 300 and the y-intercept is 2000.<BR>\n" );
document.write( "this means that y = 2000 when x = 0 (y-intercept) and, for every increase of 1 in the value of x, the corresponding value of y increased by 100.<BR>\n" );
document.write( "x = 0, y = 2000<BR>\n" );
document.write( "x = 1, y = 2300<BR>\n" );
document.write( "x = 2, y = 2600<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( "the annual rate of change is the slope which is equal to 300.\r<BR>\n" );
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