document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908916>Question 908916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After 4 minutes an ant traveled 105 meters and after 8 minutes the ant will have traveled 165 meters.<BR>\n" );
document.write( "(a)	<BR>\n" );
document.write( "Assuming a linear equation can be used to model the change in distance traveled over time beetween 4 and 8 minutes, write this linear model in slope-intercept form:   Switch to Equation Editor<BR>\n" );
document.write( "Let ybe the distance traveled (in meters) after xminutes.<BR>\n" );
document.write( "(b)	<BR>\n" );
document.write( "The significance of the slope in the context of this situation is:\r<BR>\n" );
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document.write( "		<BR>\n" );
document.write( "  The ant travels at an average of 45 minutes per meter.<BR>\n" );
document.write( "		<BR>\n" );
document.write( "  The ant travels 45 meters in 15 minutes.<BR>\n" );
document.write( "		<BR>\n" );
document.write( "  The ant travels at an average of 15 meters per minute.<BR>\n" );
document.write( "		<BR>\n" );
document.write( "  The ant travels at an average of 45 meters per minute.<BR>\n" );
document.write( "		<BR>\n" );
document.write( "  The ant travels at an average of 15 minutes per meter.<BR>\n" );
document.write( "(c)	<BR>\n" );
document.write( "Predict the distance that the ant will have traveled after 16 minutes and the number of minutes it will take for the ant to travel 315 meters<BR>\n" );
document.write( "The distance that the ant will have traveled after 16 minutes is   meters.<BR>\n" );
document.write( "(d)	<BR>\n" );
document.write( "The number of minutes that will pass from the time the ant begins moving until it has traveled 315 meters is    minutes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551458 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we are given two points, (4,105) and (8,165), then the slope m is<BR>\n" );
document.write( "m = (165 - 105) / (8 - 4) = 60/4 = 15 and so far the equation looks likw<BR>\n" );
document.write( "y = 15x + b<BR>\n" );
document.write( "let's get the y intercept by substituting one of the points in the equation<BR>\n" );
document.write( "105 = 15*4 + b<BR>\n" );
document.write( "b = 45, therefore our linear equation is<BR>\n" );
document.write( "y = 15x + 45<BR>\n" );
document.write( "b) The ant travels at an average of 15 meters per minute.<BR>\n" );
document.write( "c) y = 15*16 +45 = 285 meters<BR>\n" );
document.write( "the distance the ant has traveled in 16 minutes is 285 meters<BR>\n" );
document.write( "d)  315 = 15x + 45<BR>\n" );
document.write( "    x = 18 minutes<BR>\n" );
document.write( "the ant has traveled 315 meters in 18 minutes\r<BR>\n" );
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document.write( " </SPAN>\n" );
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