document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253143>Question 253143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My problem is:<BR>\n" );
document.write( "Write an exponential function whose graph passes through each pair of points for:\r<BR>\n" );
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document.write( "(20,4), (25,3)\r<BR>\n" );
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document.write( "I am using the book:Algebra 2 Explorations & Applications by McDougal Littell<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 #185396 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%2Ab%5Ex ALIGN=MIDDLE  ALT=\"y=a%2Ab%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the general exponential equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=a%2Ab%5E20 ALIGN=MIDDLE  ALT=\"4=a%2Ab%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=20 and y=4 since the point (20,4) lies on the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fb%5E20=a ALIGN=MIDDLE  ALT=\"4%2Fb%5E20=a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E20 ALIGN=MIDDLE  ALT=\"b%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate 'a'.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4%2Fb%5E20 ALIGN=MIDDLE  ALT=\"a=4%2Fb%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%2Ab%5Ex ALIGN=MIDDLE  ALT=\"y=a%2Ab%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the general exponential equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=a%2Ab%5E25 ALIGN=MIDDLE  ALT=\"3=a%2Ab%5E25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=25 and y=3 since the point (25,3) also lies on the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=%284%2Fb%5E20%29%2Ab%5E25 ALIGN=MIDDLE  ALT=\"3=%284%2Fb%5E20%29%2Ab%5E25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4%2Fb%5E20 ALIGN=MIDDLE  ALT=\"a=4%2Fb%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=%284b%5E25%29%2Fb%5E20 ALIGN=MIDDLE  ALT=\"3=%284b%5E25%29%2Fb%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=4b%5E5 ALIGN=MIDDLE  ALT=\"3=4b%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4=b%5E5 ALIGN=MIDDLE  ALT=\"3%2F4=b%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C3%2F4%29=b ALIGN=MIDDLE  ALT=\"root%285%2C3%2F4%29=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the 5th root of both sides to isolate 'b'.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%5E%281%2F5%29%5E%22%22=b ALIGN=MIDDLE  ALT=\"%283%2F4%29%5E%281%2F5%29%5E%22%22=b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to exponential notation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%283%2F4%29%5E%281%2F5%29%5E%22%22 ALIGN=MIDDLE  ALT=\"b=%283%2F4%29%5E%281%2F5%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4%2Fb%5E20 ALIGN=MIDDLE  ALT=\"a=4%2Fb%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the previously isolated equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4%2F%28%283%2F4%29%5E%281%2F5%29%29%5E20 ALIGN=MIDDLE  ALT=\"a=4%2F%28%283%2F4%29%5E%281%2F5%29%29%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%283%2F4%29%5E%281%2F5%29%5E%22%22 ALIGN=MIDDLE  ALT=\"b=%283%2F4%29%5E%281%2F5%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4%2F%28%283%2F4%29%5E4%29 ALIGN=MIDDLE  ALT=\"a=4%2F%28%283%2F4%29%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1024%2F81 ALIGN=MIDDLE  ALT=\"a=1024%2F81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and reduce.\r<BR>\n" );
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document.write( "So the exponential equation that goes through the points (20,4), (25,3) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281024%2F81%29%283%2F4%29%5E%28x%2F5%29 ALIGN=MIDDLE  ALT=\"y=%281024%2F81%29%283%2F4%29%5E%28x%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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