document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869603>Question 869603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In testing the effects of a drug, the percentage of the drug in the blood stream was given by p = 0.090t – 0.015t^2, where t is the time (in hours) after the drug was administered.\r<BR>\n" );
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document.write( "a.	What is the maximum number of hours that the drug is in blood?<BR>\n" );
document.write( "b.	How much of the drug is in the system after 15 minutes?<BR>\n" );
document.write( "c.	How long is at least 12 percent of the drug in the system?<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 #524453 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=524453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)Find t when p=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.090t-0.015t%5E2=0 ALIGN=MIDDLE  ALT=\"0.090t-0.015t%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.090t=0.015t%5E2 ALIGN=MIDDLE  ALT=\"0.090t=0.015t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.090%2F0.015 ALIGN=MIDDLE  ALT=\"t=0.090%2F0.015\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=6 ALIGN=MIDDLE  ALT=\"t=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours<BR>\n" );
document.write( "b) 15 minutes = 1/4 hour<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.090%281%2F4%29-0.015%281%2F16%29 ALIGN=MIDDLE  ALT=\"p=0.090%281%2F4%29-0.015%281%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.0225-.0009375 ALIGN=MIDDLE  ALT=\"p=0.0225-.0009375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.0215625 ALIGN=MIDDLE  ALT=\"p=0.0215625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C8%2C-1%2C2%2C0.090x-0.015x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C8%2C-1%2C2%2C0.090x-0.015x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks for the two points when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=0.12 ALIGN=MIDDLE  ALT=\"p=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.090t-0.015t%5E2=0.12 ALIGN=MIDDLE  ALT=\"0.090t-0.015t%5E2=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15t%5E2%2B90t-120=0 ALIGN=MIDDLE  ALT=\"-15t%5E2%2B90t-120=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-6t%2B8=0 ALIGN=MIDDLE  ALT=\"t%5E2-6t%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-2%29%28t-4%29=0 ALIGN=MIDDLE  ALT=\"%28t-2%29%28t-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2 ALIGN=MIDDLE  ALT=\"t=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=4 ALIGN=MIDDLE  ALT=\"t=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the difference is how long the drug is above 12%.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA=4-2=2 ALIGN=MIDDLE  ALT=\"DELTA=4-2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hours ALIGN=MIDDLE  ALT=\"hours\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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