document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125763>Question 1125763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function f(t)=5(1.4)^tdetermines the height of a sunflower (in inches) in terms of the number of weeks t since it was planted. \r<BR>\n" );
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document.write( "Determine the average rate of change of the sunflower's height (in inches) with respect to the number of weeks since it was planted over the following time intervals.\r<BR>\n" );
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document.write( "a. from t=0 to t=2 weeks, whats the average rate of change?\r<BR>\n" );
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document.write( "b. from t=2 to t=4 weeks, whats the average rate of change?\r<BR>\n" );
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document.write( "c. from t=4 to t=6 weeks, whats the average rate of change?\r<BR>\n" );
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document.write( "Based on your answers to part (a), which of the following are true? Select all that apply.<BR>\n" );
document.write( "-The height of the sunflower is increasing at an increasing rate on the interval 0<t<6<BR>\n" );
document.write( "-The graph of f is concave down on the interval 0<t<6<BR>\n" );
document.write( "-The height of the sunflower is increasing at a decreasing rate on the interval <BR>\n" );
document.write( "0<t<6.<BR>\n" );
document.write( "-The graph of f is concave up on the interval 0<t<6.\r<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 #742079 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=742079\">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( "Given a function <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \phi(x)\">, the average rate of change from <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_a\"> to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_b\"> is equal to the slope of the line through <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \(x_a,\phi(x_a)\)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \(x_b,\phi(x_b)\)\">, which is calculated by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{\phi(x_b)\ -\ \phi(x_a)}{x_b -\ x_a}\">\r<BR>\n" );
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document.write( "Your parts a, b, and c are just three arithmetic problems.  You can use a calculator just as well as I can.<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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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