document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128759>Question 128759</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/061849281x/algebrahomeworkh>college algrebra by  larson,hostetler,and hodgkins</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> distance traveled by a car<BR>\n" );
document.write( "you are driving at a constant speed on a freeway. at 4:30pm you drive by a signb that gives the distance to Montgomery, alabama as 84 miles  AT 4:59 you drive by another sign that gives the distance to Montgomery as 56 miles.\r<BR>\n" );
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document.write( "(a)  write a linear equation that gives our distance from montgomery in terms of time t(let  t=0 represent 4:30pm and let t be measured in minutes\r<BR>\n" );
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document.write( "(b)  use the equation in part a to find the time when you reach montgomery\r<BR>\n" );
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document.write( "so I know that it took 28 minutes to go 29 miles thats all i know </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94197 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=94197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are driving at a constant speed on a freeway. at 4:30pm you drive by a signb that gives the distance to Montgomery, alabama as 84 miles AT 4:59 you drive by another sign that gives the distance to Montgomery as 56 miles.<BR>\n" );
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document.write( "(a) write a linear equation that gives our distance from montgomery in terms of time t(let t=0 represent 4:30pm and let t be measured in minutes <BR>\n" );
document.write( "You have two points relating time and distance: (0,84) and (29,56)<BR>\n" );
document.write( "slope = (56-84)/(29) = -28/29<BR>\n" );
document.write( "Comment: That slope means the distance is reduced 28 miles in 29 minutes.<BR>\n" );
document.write( "Equation Form: distance = (slope)(time in minutes) + b<BR>\n" );
document.write( "Substitute and solve for \"b\":<BR>\n" );
document.write( "84 = (-28/29)(0) + b<BR>\n" );
document.write( "b = 84<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "d(t) = (-28/29)t + 84<BR>\n" );
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document.write( "(b) use the equation in part a to find the time when you reach montgomery <BR>\n" );
document.write( "56 = (-28/29)t + 84<BR>\n" );
document.write( "(-28/29)t = - -28<BR>\n" );
document.write( "(-1/29)t = -1<BR>\n" );
document.write( "t = 29 minutes<BR>\n" );
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document.write( "4:59 + 29 minutes = 5:28 (time of arrival at montgomery)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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