document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490262>Question 490262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't even understand this let alone know how to answer it, could someone please explain? it would be really appreciated.\r<BR>\n" );
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document.write( "The following is an exponential relationship between unemployment rate, U, and inflation rate, I depicted by the function<BR>\n" );
document.write( "I = 24e^(-0.3U)<BR>\n" );
document.write( "a.	Sketch a graph of this function, for domain 0 &#8804; U &#8804; 10	<BR>\n" );
document.write( "b.	Rearrange the formula for the above function to make U the subject.<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 #334187 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=334187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following is an exponential relationship between unemployment rate, U, and inflation rate, I depicted by the function<BR>\n" );
document.write( "I = 24e^(-0.3U)<BR>\n" );
document.write( "a. Sketch a graph of this function, for domain 0 &#8804; U &#8804; 10 <BR>\n" );
document.write( "Rewrite the given equation using x & y, more understandable for graphing it<BR>\n" );
document.write( "y = 24e^(-.3x)<BR>\n" );
document.write( "They want us to plots this for x=0 to x=10, using a calc, substitute values for x and find y using the given equations, round to the nearest 10th<BR>\n" );
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document.write( " x | y<BR>\n" );
document.write( "-------<BR>\n" );
document.write( " 0| 24;;;    y = 24*e^(-.3*0)\"<BR>\n" );
document.write( " 1| 17.8;  y = 24*e^(-.3*1)<BR>\n" );
document.write( " 2| 13.2;  y = 24*e^(-.3*2)<BR>\n" );
document.write( " 4| 7.2;;   y = 24*e^(-.3*4)<BR>\n" );
document.write( " 6| 4.0;;   y = 24*e^(-.3*6)<BR>\n" );
document.write( " 8| 2.2;;  y = 24*e^(-.3*8)<BR>\n" );
document.write( "10| 1.2;;  y = 24*3^(-.3*10)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Plot these x/y points, it should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+12%2C+-10%2C+28%2C+24%2Ae%5E%28-.3x%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+12%2C+-10%2C+28%2C+24%2Ae%5E%28-.3x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ":<BR>\n" );
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document.write( "b. Rearrange the formula for the above function to make U the subject.<BR>\n" );
document.write( "I = 24*e^(-.3u)<BR>\n" );
document.write( "divide both sides by 24, and write it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-.3u%29 ALIGN=MIDDLE  ALT=\"e%5E%28-.3u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%2F24 ALIGN=MIDDLE  ALT=\"I%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the natural log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%28-.3u%29%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%28-.3u%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28I%2F24%29 ALIGN=MIDDLE  ALT=\"ln%28I%2F24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using the log equiv of exponents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.3u%2Aln%28e%29 ALIGN=MIDDLE  ALT=\"-.3u%2Aln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28I%2F24%29 ALIGN=MIDDLE  ALT=\"ln%28I%2F24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the ln of e is 1, so we can write it;<BR>\n" );
document.write( "-.3u = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28I%2F24%29 ALIGN=MIDDLE  ALT=\"ln%28I%2F24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by -.3<BR>\n" );
document.write( "u = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F.3 ALIGN=MIDDLE  ALT=\"-1%2F.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28I%2F24%29 ALIGN=MIDDLE  ALT=\"ln%28I%2F24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or using decimals we can write it<BR>\n" );
document.write( "u = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3.33%2Aln%28I%2F24%29 ALIGN=MIDDLE  ALT=\"-3.33%2Aln%28I%2F24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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