document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346098>Question 346098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the intersecting points of two equations: y=.15x and y=.2(x-20)and graph them.  I have included my problem and what is expected.  I'm lost.\r<BR>\n" );
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document.write( "Ok this is what I got :<BR>\n" );
document.write( "You would set the two equations equal to each other and solve for x<BR>\n" );
document.write( "		.15x=.2(x-20) using the Elimination Method\r<BR>\n" );
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document.write( "Reorder the terms:<BR>\n" );
document.write( "0.15x = 0.2(-20 + x)<BR>\n" );
document.write( "0.15x = (-20 * 0.2 + x * 0.2)<BR>\n" );
document.write( "0.15x = (-4 + 0.2x)\r<BR>\n" );
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document.write( "Solving<BR>\n" );
document.write( "0.15x = -4 + 0.2x\r<BR>\n" );
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document.write( "Solving for variable 'x'.\r<BR>\n" );
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document.write( "Move all terms containing x to the left, all other terms to the right.\r<BR>\n" );
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document.write( "Add '-0.2x' to each side of the equation.<BR>\n" );
document.write( "0.15x + -0.2x = -4 + 0.2x + -0.2x\r<BR>\n" );
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document.write( "Combine like terms: 0.15x + -0.2x = -0.05x<BR>\n" );
document.write( "-0.05x = -4 + 0.2x + -0.2x\r<BR>\n" );
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document.write( "Combine like terms: 0.2x + -0.2x = 0.0<BR>\n" );
document.write( "-0.05x = -4 + 0.0<BR>\n" );
document.write( "-0.05x = -4\r<BR>\n" );
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document.write( "Divide each side by '-0.05'.<BR>\n" );
document.write( "x = 80\r<BR>\n" );
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document.write( "Simplifying<BR>\n" );
document.write( "x = 80\r<BR>\n" );
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document.write( "Now that X = 80, I plugged it into the equation y=0.15x and got this:<BR>\n" );
document.write( "y=0.15x   <BR>\n" );
document.write( "y=0.15(80) <BR>\n" );
document.write( "y= 12\r<BR>\n" );
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document.write( "Now this is the question to my problem and I do not know how to get the answer. I have to graph this and show the intersection.\r<BR>\n" );
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document.write( "a teacher is looking for the best option in purchasing school supplies for a classroom.  Where Company A is offering a discount for every dollar amount spent on school supplies and where Company B is offering a higher discount than Company A, but the discount for Company B is only offered for every dollar amount spent above $20.00.  I will determine and explain which company will offer a better price based upon the dollar amount the teacher spends on school supplies.\r<BR>\n" );
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document.write( "Option 1- Company A will offer her a 15% discount on the total amount spent in the store. <BR>\n" );
document.write( "Option 2- Company B will offer her a 20% discount on the remaining amount after the first $20 is spent.\r<BR>\n" );
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document.write( "Depict the situation graphically, using appropriate graphing software such as Excel or an online graphing utility.\r<BR>\n" );
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document.write( "Include the following in your graph:<BR>\n" );
document.write( "•  A depiction of each cost option on the same graph<BR>\n" );
document.write( "• Clear labels of the cost to the hypothetical customer for both options on the graph <BR>\n" );
document.write( "• The intersection of the cost options (if one exists)\r<BR>\n" );
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document.write( "I'm so lost.  I do not know how to graph this. Please help if you can.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247486 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=0.15x<BR>\n" );
document.write( "(10,1.5)(20,3)(30,4.5)<BR>\n" );
document.write( "y=0.2x-4<BR>\n" );
document.write( "(20,0)(30,2)(40,4)\r<BR>\n" );
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document.write( "Your intersection values of (80,12) is correct.<BR>\n" );
document.write( "for each equation<BR>\n" );
document.write( "take 3 values of x and calculate y<BR>\n" );
document.write( "plot the two graphs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C100%2C-1%2C15%2C0.15x%2C0.2x-4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C100%2C-1%2C15%2C0.15x%2C0.2x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you will get 2 graphs as above\r<BR>\n" );
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document.write( "...<BR>\n" );
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