document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107488>Question 1107488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly based pay plus commission on all that she sells. If she sells $500 worth of merchandise in one month, she is paid $390. If she sells $1,000 worth of merchandise in one month, she gets paid $480. Find Carissa's salary when she sells $2,400 worth of merchandise? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722758 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=722758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let y equal the revenue.\r<BR>\n" );
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document.write( "let x equal the dollar amount of merchandise she sells in a month.\r<BR>\n" );
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document.write( "slope intercept form of a straight line equation is y = mx + b.\r<BR>\n" );
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document.write( "m is the slope which is the change in y divided by the change in x.\r<BR>\n" );
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document.write( "b is the y-intercept which is the value of y when the value of x is 0.\r<BR>\n" );
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document.write( "if she sells 500 in one month, she makes 390.\r<BR>\n" );
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document.write( "if she sells 1000 in one month, she makes 480.\r<BR>\n" );
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document.write( "when she sells 500 in one month to make 390, the value of x is 500 and the value of y is 390.\r<BR>\n" );
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document.write( "when she sells 1000 in one month to make 480, the value of x is 1000 and the value of y is 480.\r<BR>\n" );
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document.write( "you have two points that will be on the line of your equation.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "(x1,y1) = 500,390<BR>\n" );
document.write( "(x2,y2) = 1000,480\r<BR>\n" );
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document.write( "from these two points,you can find the slope.\r<BR>\n" );
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document.write( "m is the slope.\r<BR>\n" );
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document.write( "m = (x2-x1) / (y2-y1) = (480-390) / (1000-500) = 90/500 = 9/50\r<BR>\n" );
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document.write( "your equation becomes y = 9/50 * x + b\r<BR>\n" );
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document.write( "to find the y-intercept, replace x and y with the values from one of the points used to find the slope, and solve for b.\r<BR>\n" );
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document.write( "i'll use (1000,480).\r<BR>\n" );
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document.write( "y = 9/50 * x + b becomes 480 = 9/50 * 1000 + b\r<BR>\n" );
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document.write( "solve for b to get b = 480 - 9/50 * 1000\r<BR>\n" );
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document.write( "this results in b = 480 - 180 = 300\r<BR>\n" );
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document.write( "your equation becomes y = 9/50 * x + 300\r<BR>\n" );
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document.write( "any point that's on the line will be modeled by this equaiton.\r<BR>\n" );
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document.write( "when x = 2400, the equation becomes y = 9/50 * 2400 + 300.\r<BR>\n" );
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document.write( "this results in y = 732.\r<BR>\n" );
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document.write( "if she sells 2400 dollars worth of merchandise in a month, she will get paid 732 dollars.\r<BR>\n" );
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document.write( "her salary is composed of a flat rate of 300 plus a commission of 432.\r<BR>\n" );
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document.write( "the commission part of her salary was equal to 9/50 * 2400.\r<BR>\n" );
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document.write( "if you graphed the equation, it would look something like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/012804.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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