document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037913>Question 1037913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A taxi cab charged $17.50 for a ten mile trip and $30 for a 20 mile trip. Write an equation to find the charge per mile and the cost just to get in the cab. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652595 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=652595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this would be a straight line equation.<BR>\n" );
document.write( "the slope intercept form of a straight line equation is:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
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document.write( "let x = the number of miles.<BR>\n" );
document.write( "let y = the cost for that number of miles.\r<BR>\n" );
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document.write( "you have 2 points.\r<BR>\n" );
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document.write( "(x1,y1) = (10,17.50)<BR>\n" );
document.write( "(x2,y2) = (20,30)\r<BR>\n" );
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document.write( "the slope of a straight line equation is equalt to (y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "that would be (30-17.50)/(20-10)\r<BR>\n" );
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document.write( "simplify that to get slope = 12.50/10 = 1.25\r<BR>\n" );
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document.write( "your equation of y = mx + b becomes y = 1.25*x + b\r<BR>\n" );
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document.write( "now use one of the points to solve for b.\r<BR>\n" );
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document.write( "you replace x with the x-coordinate of one of the points and you replace y with the y-coordinate of that same point and then solve for b.\r<BR>\n" );
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document.write( "y = 1.25x + b becomes 30 = 1.25*20 + b when you use the point (20,30).\r<BR>\n" );
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document.write( "solve for b to get b = 30 - 1.25*20.\r<BR>\n" );
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document.write( "simplify to get b = 30 - 25.\r<BR>\n" );
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document.write( "combine like terms to get b = 5.\r<BR>\n" );
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document.write( "your equation is y = 1.25*x+5\r<BR>\n" );
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document.write( "what this equation says is that you will pay 5 dollars to get into the cab and then you will pay 1 dollar and 25 cents for each mile that the cab takes you.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "to go 10 miles, the cost is 5 dollars plus 1.25 * 10 = 5 dollars + 12.5 = 17 dollars and 50 cents.\r<BR>\n" );
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document.write( "to go 20 miles, the cost is 5 dollars plus 1.25 * 20 = 5 dollars plus 25 dollars = 30 dollars.\r<BR>\n" );
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document.write( "the graph shows that to you.<BR>\n" );
document.write( "x represents the number of miles.<BR>\n" );
document.write( "y represents the cost to go that number of miles.\r<BR>\n" );
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document.write( "the graph is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src= \"http://theo.x10hosting.com/2016/061201.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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