document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96232>Question 96232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By graphing the points and setting up a common difference table, determine if the following data points form a constant, linear, quadratic or none of these types.  Explain your choice.\r<BR>\n" );
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document.write( "To manufacture 4 VCRs cost $160<BR>\n" );
document.write( "To manufacture 5 VCRs cost $200<BR>\n" );
document.write( "To manufacture 6 VCRs cost $240<BR>\n" );
document.write( "To manufacture 7 VCRs cost $280\r<BR>\n" );
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document.write( "Plot the data on a graph paper.  Note, be sure to label your axes properly.\r<BR>\n" );
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document.write( "Next, Fill out the common difference table for the date\r<BR>\n" );
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document.write( "_______________________________________________________________________________<BR>\n" );
document.write( "                                            1st CD              2nd CD<BR>\n" );
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document.write( "(Note) there are actually (4) colums that make up this table.  (2) Blank rows then (2) rows that represent the info that goes into the 1st and 2nd CD columns.\r<BR>\n" );
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document.write( "Type of Function is?\r<BR>\n" );
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document.write( "A) Constant   B)Linear   C) Quadratic    D) None of these types\r<BR>\n" );
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document.write( "Explanation of why you chose the above type?_________________________________ <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 #70049 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let VCRs = x<BR>\n" );
document.write( "Let Cost =y<BR>\n" );
document.write( "Use the formula for the slope (m) of a line:<BR>\n" );
document.write( "m=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y1-y2%29%2F%28x1-x2%29%29 ALIGN=MIDDLE  ALT=\"%28%28y1-y2%29%2F%28x1-x2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Pick any two points and plug-in the y1, y2, x1, and x2 values:<BR>\n" );
document.write( "I picked points (4, 160) and (5, 200)<BR>\n" );
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document.write( "m=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28160-200%29%2F%284-5%29%29%29 ALIGN=MIDDLE  ALT=\"%28160-200%29%2F%284-5%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-40%29%2F%28-1%29%29%29 ALIGN=MIDDLE  ALT=\"%28-40%29%2F%28-1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2840%29 ALIGN=MIDDLE  ALT=\"%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use the formula for the slope-intercept equation of a line:<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "Pick one point and plug it into the equation, plug-in the slope and solve for the b-value:<BR>\n" );
document.write( "I picked point (4, 160)<BR>\n" );
document.write( "160=(40)(4)+b<BR>\n" );
document.write( "160=160+b<BR>\n" );
document.write( "160=160=b<BR>\n" );
document.write( "0=b<BR>\n" );
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document.write( "Plug-in the value of the slope and the value of the b-term:<BR>\n" );
document.write( "y=40x+0<BR>\n" );
document.write( "or y=40x<BR>\n" );
document.write( "or f(x)=40x  <BR>\n" );
document.write( "This is the slope-intercept form of the equation of line.  <BR>\n" );
document.write( "This is a (B) LINEAR EQUATION because as the x-value goes up, the corresponding y-values goes up; as x-value x goes down, the corresponding y-values goes down.<BR>\n" );
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document.write( "The common difference will be (1) because:<BR>\n" );
document.write( "5-4=1<BR>\n" );
document.write( "6-5=1<BR>\n" );
document.write( "7-6=1, etc.<BR>\n" );
document.write( "I do not understand what is need in the rest of the table.<BR>\n" );
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document.write( "Graphing: The line will cross the y-axis at (0,0).  Plot the following points and connect the lines to get the graph below: ((-3, -120) (-1, -40) (0, 0) ( 2, 80) (4, 160) (6, 240), etc.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+40x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+40x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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