document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111731>Question 1111731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An artist makes $1,000 in profit after renting a booth and selling 50 prints. Another artist makes $550 after renting a booth and selling 32 prints.  Which equation describes the relationship between the number of prints sold, x, and the profit, y? F)y = -25x - 250 G)y = 25x + 250 H)y = 25x - 250 I)y = -25x - 250  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #726740 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=726740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation will be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 25x - 250\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "there's a built in assumption in this problem that the price of each print is the same for both artists.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you are given that:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1000 in profit is made after one artist sells 50 prints.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "550 in profit is made after one other artist sells 32 prints.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the difference in profit is 1000 - 550 = 450.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the difference in the number of prints sold is 50 - 32 = 18.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "amptjer built in assumption is that you are dealing with a straight line equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the slope intercept form of a straight line equation is y = mx + b.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.<BR>\n" );
document.write( "y is the profit<BR>\n" );
document.write( "x is the number of prints sold.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to find the slope, you take the change in the value of y and divide it by the corresponding chagnge in the value of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you  would get m = 450 / 18 which simplifies to 25.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your equation becomes y = 25x + b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to solve for b, take any point that satisfies the equation and replace y with the y-value of that point and replace x with the x-value of that point.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i chose 50,1000 as my point.<BR>\n" );
document.write( "32,550 would work just as well.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation of y = 25x + b becomes 1000 = 25 * 50 + b<BR>\n" );
document.write( "simplify to get 1000 = 1250 + b<BR>\n" );
document.write( "subtract 1250 from both sides and solve for b to get b = -250\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation of y = 25x + b becomes y = 25x - 250.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the graph of this equation is shown below.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/030902.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can see that, when x is 0, the profit is -250.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is the same as a loss of 250.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can also eee that the artists will break even when 10 prints are sold at 25 dollars each.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can also see that the artist that sells 32 prints makes 550 in profit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can also see that the artist that sells 50 prints makes 1000 in profit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i believe your selection is H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );