document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130955>Question 1130955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Between 1854 and 2002, carbon dioxide (CO2) concentration in the atmosphere rose from roughly 285 parts per million to 379 parts per million. Assume that this growth can be modeled with an exponential function &#119876; = &#119876;0 × (1 + &#119903;)^&#119905;<BR>\n" );
document.write( "a. By experimenting with various values of the growth rate r, find an exponential equation that fits the data for 1854 and 2002.<BR>\n" );
document.write( "b. Use this exponential model to predict when the CO2 concentration will double its 1854 level in what year?<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 #747565 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=747565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
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document.write( " &#119876; = &#119876;0 × (1 + &#119903;)^&#119905;<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=v%5Bo%5D%281%2Br%29%5Et ALIGN=MIDDLE  ALT=\"v=v%5Bo%5D%281%2Br%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t years since 1854<BR>\n" );
document.write( "r as a decimal fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bo%5D=285 ALIGN=MIDDLE  ALT=\"v%5Bo%5D=285\"   DISABLED_style= \"max-width:90%; height:auto;\" >for year 1854\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=285%281%2Br%29%5E148=379 ALIGN=MIDDLE  ALT=\"285%281%2Br%29%5E148=379\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=solve ALIGN=MIDDLE  ALT=\"solve\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=for ALIGN=MIDDLE  ALT=\"for\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   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=log%281%2Br%29=%281%2F148%29%2Alog%28%28379%2F285%29%29 ALIGN=MIDDLE  ALT=\"log%281%2Br%29=%281%2F148%29%2Alog%28%28379%2F285%29%29\"   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=log%28%281%2Br%29%29=0.000836448 ALIGN=MIDDLE  ALT=\"log%28%281%2Br%29%29=0.000836448\"   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=1%2Br=1.0019278 ALIGN=MIDDLE  ALT=\"1%2Br=1.0019278\"   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=r=0.193 ALIGN=MIDDLE  ALT=\"r=0.193\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=percent ALIGN=MIDDLE  ALT=\"percent\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "model:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=285%281.0019278%29%5Et%29 ALIGN=MIDDLE  ALT=\"highlight%28v=285%281.0019278%29%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Predict When v=570 parts per million:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.0019278%29%5Et=2 ALIGN=MIDDLE  ALT=\"%281.0019278%29%5Et=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take logs of both sides and find t. </SPAN>\n" );
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