document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977470>Question 977470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help on how to solve these problems. Please include steps on how to solve. Thank you.\r<BR>\n" );
document.write( "\n" );
document.write( "A bathtub is being drained. Since it is an ordinary tub, it can be modeled by the function  <BR>\n" );
document.write( "V(t) = -15t + 45 where V(t) is the volume of the tub in gallons and t is the time that has passed in minutes. V(T) = -20T + 50 where v(T) is the volume of the tub in gallons and T is the time that has passed. Which tub will drain faster? \r<BR>\n" );
document.write( "\n" );
document.write( "Based on the function V(t) = -15t + 45, when will the tub be half full?\r<BR>\n" );
document.write( "\n" );
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 #599010 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=599010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In other words, when does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28t%29=0 ALIGN=MIDDLE  ALT=\"V%28t%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B1%5D=-15t%2B45=0 ALIGN=MIDDLE  ALT=\"V%5B1%5D=-15t%2B45=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15t=45 ALIGN=MIDDLE  ALT=\"15t=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D=3 ALIGN=MIDDLE  ALT=\"t%5B1%5D=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=min ALIGN=MIDDLE  ALT=\"min\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2%5D=-20t%2B50=0 ALIGN=MIDDLE  ALT=\"V%5B2%5D=-20t%2B50=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20t=50 ALIGN=MIDDLE  ALT=\"20t=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D=5%2F2 ALIGN=MIDDLE  ALT=\"t%5B2%5D=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=min ALIGN=MIDDLE  ALT=\"min\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The second tub drains faster.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The first tub is half full when the volume is half of the volume at t=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B0%5D%2F2=%28-15%280%29%2B45%29%2F2=45%2F2 ALIGN=MIDDLE  ALT=\"V%5B0%5D%2F2=%28-15%280%29%2B45%29%2F2=45%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15t%2B45=45%2F2 ALIGN=MIDDLE  ALT=\"-15t%2B45=45%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15t=-45%2F2 ALIGN=MIDDLE  ALT=\"-15t=-45%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=3%2F2 ALIGN=MIDDLE  ALT=\"t=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=min ALIGN=MIDDLE  ALT=\"min\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );