document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302662>Question 302662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 1996, an outbreak of a disease infected 14 people in a large community.  By 1997, the number of those infected had grown to 40. Find an exponential growth funtion that fits the datta. Round decimals to 3 places.\r<BR>\n" );
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document.write( "Thank you,  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216999 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=216999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 1996, an outbreak of a disease infected 14 people in a large community. By 1997, the number of those infected had grown to 40. Find an exponential growth funtion that fits the data. Round decimals to 3 places. <BR>\n" );
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document.write( "Form: y = ab^x<BR>\n" );
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document.write( "Solve for a and b.<BR>\n" );
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document.write( "Points from narrative: (0,14),(1,40)<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "40 = ab^1<BR>\n" );
document.write( "14 = ab^0<BR>\n" );
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document.write( "From the 2nd equation: a = 14<BR>\n" );
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document.write( "Divide 1st Eq. by 2nd to get:<BR>\n" );
document.write( "b = 40/14 = 20/7<BR>\n" );
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document.write( "Equation: <BR>\n" );
document.write( "y = 14(20/7)^x where \"x\" is the number of years after 1996<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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