document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=575520>Question 575520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the function\r<BR>\n" );
document.write( "\n" );
document.write( "Two ships leave port at the same time. One sails south at 15 miles per hour and the other sails east at 20 miles per hour. Find a function that models the distance between the ships in terms of time elapsed since their departure. \r<BR>\n" );
document.write( "\n" );
document.write( "I have drawn out a picture but im still confused on how to form the function </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369551 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=369551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two ships leave port at the same time.<BR>\n" );
document.write( " One sails south at 15 miles per hour and the other sails east at 20 miles per hour.<BR>\n" );
document.write( " Find a function that models the distance between the ships in terms of time elapsed since their departure. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time from departure<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We know that d = speed*time, therefore<BR>\n" );
document.write( "15t = distance traveled by the southbound ship<BR>\n" );
document.write( "20t = distance traveled by the eastbound<BR>\n" );
document.write( ":<BR>\n" );
document.write( "This is a right triangle problem: c^2 = a^2 + b^2, where<BR>\n" );
document.write( "a = 15t<BR>\n" );
document.write( "b = 20t<BR>\n" );
document.write( "c = distance between them at t time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c^2 = (15t)^2 + (20t)^2<BR>\n" );
document.write( "c^2 = 225t^2 + 400t^2<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "c^2 = 625t^2<BR>\n" );
document.write( "Find the square root of both sides<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28625t%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28625t%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is<BR>\n" );
document.write( "c = 25t<BR>\n" );
document.write( "f(t) = 25t, would be the function<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );