document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189157>Question 1189157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer's earnings can be represented by a linear function. <BR>\n" );
document.write( "For an order of  60 stand fan, it earns Php. 7,000 and for 100 order, <BR>\n" );
document.write( "it earns Php. 15,000.\r<BR>\n" );
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document.write( "a, write the linear function<BR>\n" );
document.write( "b. how many electric fans must be manufactured to guarantee an earning of Php. 45,000?<BR>\n" );
document.write( "c. how much would the manufacturer earn if it accepted an order of 200 electric fans?<BR>\n" );
document.write( "d. If the manufacturer has a maximum earning of Php. 75,000 what is the most number of orders of electric fans has it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820435 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=820435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> with an order of 60, they make 7000<BR>\n" );
document.write( "with an order of 100, they make 15000<BR>\n" );
document.write( "the change in what they make is equal to 8000.<BR>\n" );
document.write( "the change in the size of the order is equal to 40.<BR>\n" );
document.write( "the general form of the equation is y = mx + b<BR>\n" );
document.write( "m is the slope.<BR>\n" );
document.write( "b is the y-intercept.<BR>\n" );
document.write( "the slope is the change in what they make divided by the corresponding change in the number of orders.<BR>\n" );
document.write( "that is equal to 8000 / 40 = 200.<BR>\n" );
document.write( "the equation becomes y = 200 * x + b.<BR>\n" );
document.write( "the y-intercept is the value of y when the value of x is 0.<BR>\n" );
document.write( "to find it, replace a and y with their respective corresponding values and solve for b.<BR>\n" );
document.write( "i chose 60 orders for 7000 php.<BR>\n" );
document.write( "equation becomes 7000 = 200 * 60 + b<BR>\n" );
document.write( "solve for b to get:<BR>\n" );
document.write( "b = 7000 = 200 * 60 = -5000<BR>\n" );
document.write( "equation becomes y = 200x - 5000.\r<BR>\n" );
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document.write( "answers to your questions are:\r<BR>\n" );
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document.write( "a. write the linear function<BR>\n" );
document.write( "y = 200x - 5000\r<BR>\n" );
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document.write( "b. how many electric fans must be manufactured to guarantee an earning of Php. 45,000?<BR>\n" );
document.write( "replace y with 45000 and solve for x.<BR>\n" );
document.write( "45000 = 200x - 5000<BR>\n" );
document.write( "add 5000 to both sides of the equation to get:<BR>\n" );
document.write( "50000 = 200x.<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 50000/200 = 250.<BR>\n" );
document.write( "number of orders required to make 45000 is 250.\r<BR>\n" );
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document.write( "c. how much would the manufacturer earn if it accepted an order of 200 electric fans?<BR>\n" );
document.write( "y = 200 * x - 5000<BR>\n" );
document.write( "replace x with 200 to get:<BR>\n" );
document.write( "y = 200 * 200 - 5000<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 35000<BR>\n" );
document.write( "order of 2100 will earn 35000.\r<BR>\n" );
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document.write( "d. If the manufacturer has a maximum earning of Php. 75,000 what is the most number of orders of electric fans has it?<BR>\n" );
document.write( "replace y with 75000 to get:<BR>\n" );
document.write( "75000 = 200 * x - 5000<BR>\n" );
document.write( "add 5000 to both sides of the equation to get:<BR>\n" );
document.write( "80000 = 200 * x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 80000 / 200 = 400.<BR>\n" );
document.write( "maximum number of orders would be 400.\r<BR>\n" );
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document.write( "the equation can be graphed.<BR>\n" );
document.write( "here's what it looks like.<BR>\n" );
document.write( "the equation graphed is y = 200x - 5000.<BR>\n" );
document.write( "selected points are in (x,y) format.<BR>\n" );
document.write( "x is the number of orders.<BR>\n" );
document.write( "y is the amount earned.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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