document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130982>Question 1130982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The exponential function <BR>\n" );
document.write( "A(t) = 200e&#8722;0.014t<BR>\n" );
document.write( " gives the amount of medication, in milligrams, in a patient's bloodstream t minutes after the medication has been injected into the patient's bloodstream.<BR>\n" );
document.write( "(a) Find the amount of medication, to the nearest milligram, in the patient's bloodstream after 35 minutes._______mg <BR>\n" );
document.write( "(b) Use a graphing utility to determine how long it will take, to the nearest minute, for the amount of medication in the patient's bloodstream to reach 50 milligrams._________min </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747580 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=747580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The exponential function should be written as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28t%29+=+200e%5E%28-0.014t%29 ALIGN=MIDDLE  ALT=\"A%28t%29+=+200e%5E%28-0.014t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "gives the amount of medication, in milligrams, in a patient's bloodstream t minutes after the medication has been injected into the patient's bloodstream.<BR>\n" );
document.write( "(a) Find the amount of medication, to the nearest milligram, in the patient's bloodstream after 35 minutes._______mg <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28t%29+=+200e%5E%28-0.014%2A35%29 ALIGN=MIDDLE  ALT=\"A%28t%29+=+200e%5E%28-0.014%2A35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28t%29+=+200e%5E%28-.49%29 ALIGN=MIDDLE  ALT=\"A%28t%29+=+200e%5E%28-.49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A(t) = 200*.6126<BR>\n" );
document.write( "A(t) = 122.5 mg<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) Use a graphing utility to determine how long it will take, to the nearest minute, for the amount of medication in the patient's bloodstream to reach 50 milligrams._________min<BR>\n" );
document.write( "Graph equation: y = 200*e^(-.014x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-60%2C+170%2C+-100%2C+180%2C+200%2Ae%5E%28-.014x%29%2C+50%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-60%2C+170%2C+-100%2C+180%2C+200%2Ae%5E%28-.014x%29%2C+50%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Amt of 50 mg will occur at 99 minutes (green line is 50 mg) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );