document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117593>Question 117593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in standard form for the given information<BR>\n" );
document.write( "(9,4),m=-1/3<BR>\n" );
document.write( "(-3,-1) (2,-2)\r<BR>\n" );
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document.write( "A piggy bank contains only quarters and dimes. The total value in the bank is $5.50. <BR>\n" );
document.write( "write an equation in stnadard form that models the possible combinations of nickels and quarters in the piggy bank.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85602 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write an equation in standard form for the given information<BR>\n" );
document.write( "(9,4),m=-1/3<BR>\n" );
document.write( "In the slope/intercept form y = mx + b:<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + b<BR>\n" );
document.write( "Substitute for x & y and find b<BR>\n" );
document.write( "4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(9) + b<BR>\n" );
document.write( "4 = -3 + b<BR>\n" );
document.write( "4 + 3 = b<BR>\n" );
document.write( "b = 7<BR>\n" );
document.write( "Therefore we have the slope intercept equation:<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 7<BR>\n" );
document.write( "Get rid of the fraction multiply by 3<BR>\n" );
document.write( "3y = -x + 21<BR>\n" );
document.write( "Arrange in the standard form, add x to both sides<BR>\n" );
document.write( "x + 3y = +21; check equation by substituting the given values for x and y<BR>\n" );
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document.write( "(-3,-1) (2,-2)<BR>\n" );
document.write( "Find the slope using the slope equation: m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y2-y1%29%29%2F%28%28x2-x1%29%29 ALIGN=MIDDLE  ALT=\"%28%28y2-y1%29%29%2F%28%28x2-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x1 = -3; y1 = -1; x2 = 2; y2 = -2; substitute in the slope equation:<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2-%28-1%29%29%29%2F%28%282-%28-3%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2-%28-1%29%29%29%2F%28%282-%28-3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%2B1%29%29%2F%28%282%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28-2%2B1%29%29%2F%28%282%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F5 ALIGN=MIDDLE  ALT=\"-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use the slope/intercept equation again<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F5 ALIGN=MIDDLE  ALT=\"-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + b<BR>\n" );
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document.write( "Substitute x1 and y1 and find b<BR>\n" );
document.write( "-1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F5%29 ALIGN=MIDDLE  ALT=\"-1%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >(-3) + b<BR>\n" );
document.write( "-1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + b<BR>\n" );
document.write( "-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F5 ALIGN=MIDDLE  ALT=\"5%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = b<BR>\n" );
document.write( "-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = b<BR>\n" );
document.write( "Therefore we have the point/slope equation (y = mx + b) of:<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F5 ALIGN=MIDDLE  ALT=\"-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 5 to get rid of the denominator<BR>\n" );
document.write( "5y = -x - 8<BR>\n" );
document.write( "Convert to standard form<BR>\n" );
document.write( "x + 5y = -8; You can check it by substituting the given values for x and y<BR>\n" );
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document.write( "A piggy bank contains only quarters and dimes. The total value in the bank is $5.50.<BR>\n" );
document.write( "write an equation in standard form that models the possible combinations of nickels and quarters in the piggy bank.<BR>\n" );
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document.write( "Let x = no of dimes; Let y = no. of quarters. <BR>\n" );
document.write( ".05x + .25y = 5.50<BR>\n" );
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document.write( "They don't like fractions or decimals in the standard form, mult eq by 100<BR>\n" );
document.write( "5x + 25y = 550<BR>\n" );
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document.write( "Did this help?  </SPAN>\n" );
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