document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162537>Question 1162537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this question, especially question c. Thank you so much!<BR>\n" );
document.write( "7. An influenza virus is spreading through a school according to the function N(t) = 3(2)^t, where N is the number of people infected and t is the time, in days.<BR>\n" );
document.write( "a) How many people have the virus initially, when t = 0? <BR>\n" );
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document.write( "b) Determine the average rate of change between <BR>\n" );
document.write( "i) day 1 and day 2 ii) day 2 and day 3 <BR>\n" );
document.write( "Compare the rates with respect to the given situation. <BR>\n" );
document.write( "c) Estimate the instantaneous rate of change after 3 days. Explain what the value represents in this situation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786357 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I just answered this one a few minutes ago.\r<BR>\n" );
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document.write( "Hint for part a):  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \forall a\ \in\ \mathbb{R}\ |\ a\,\neq\,0, a^0\ =\ 1\">  (there is controversy about whether a = 0 should not be excluded, but the point is moot in this instance because your exponential base is 2.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{N(2)\,-\,N(1)}{2\,-\,1}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{N(3)\,-\,N(2)}{3\,-\,2}\">\r<BR>\n" );
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document.write( "c) Just slightly north of 16 and a half.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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