document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091295>Question 1091295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average monthly temperature of a town can be modeled by the function T(t)=14.6sin0.5(t-1)+9.15 where T is the temperature in degrees Celsius and t = 0 represents January 1, t = 1 represents February and so on. In which month is the average monthly temperature the highest?\r<BR>\n" );
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document.write( "	a. March					c. May	<BR>\n" );
document.write( "	b. April					d. June\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #705971 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13214)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=705971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br> The 14.6 and 9.15 only affect the amplitude and the midline of the graph.  The \"sin(0.5(t-1))\" is what determines what values of t give maximum, minimum, or average temperatures.<br><BR>\n" );
document.write( "The sine function has its maximum value when the angle is pi/2.  So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5%28t-1%29+=+pi%2F2 ALIGN=MIDDLE  ALT=\"0.5%28t-1%29+=+pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-1+=+pi ALIGN=MIDDLE  ALT=\"t-1+=+pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+pi+%2B+1 ALIGN=MIDDLE  ALT=\"t+=+pi+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the value of t that gives the maximum average temperature is pi+1, or about 4.14.  Since t=0 represents January, 4 represents May.  So the highest average monthly temperature is in May. </SPAN>\n" );
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