document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184768>Question 1184768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> during typhoon Ambo PAGASA tracks the amount of accumulating rainfall for the first three hours of typhoon the rain fell at a constant rate of 25mm per hour the typhoon slows down for an hour and started again at a constant rate of 20mm  per hour for the next 2 hours.  write a piecewise function that models the amount of rainfall as function of time </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816275 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let y = the total amount of accumulated rainfall.<BR>\n" );
document.write( "let x = the number of hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the piecewise function would be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 25x for 0 <= x <= 3<BR>\n" );
document.write( "y = 75 for 3 < x <= 4<BR>\n" );
document.write( "y = 75 + 20x for 4 < x <= 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the domain of the function is 0 <= x <= 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x is greater than 0 and less than or equal to 3, the rainfall is 25 mm per hour.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x is greater than 3 and less than or equal to 4, the rainfall is 0 mm per hour in addition to the 75 mm that has fallen in the first 3 hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x is greater than 4 and less than or equal to 6, the rainfall is 20mm per hour in addition to the 75 mm that has fallen in the first 3 hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "there was no additional mm of rain that fell between the third and fourth hour.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "which function is used is dependent on the value of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if you were to graph this function, it would look like this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/100201.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );