document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050280>Question 1050280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Problem: Farmer Fay has a pig that presently weighs 200 pounds. She could sell it now for a price of $1.40 a pound. The pig is gaining 10 pounds a week while the price per pound of pork is dropping 2 cents a week.\r<BR>\n" );
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document.write( "The table below is the value of the pig after a given number of weeks. <BR>\n" );
document.write( "Number of weeks (t ) 0,1,2,3,4,5,6,7,8,9,10\r<BR>\n" );
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document.write( "Value of pig (v) in dollars 280,289.80,299.20,308.20,316.80,325,332.80,340.20,347.20,353.80,360\r<BR>\n" );
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document.write( "Fit a quadratic model (STAT - CALC - 5:QuadReg) to this data using your calculator. Give the equation for your model below in standard form. (y = ax2 + bx + c)\r<BR>\n" );
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document.write( "2a. What are the x-intercepts of your model? (Use the graph on your calculator to find or estimate them, don’t try and find them from the equation.)\r<BR>\n" );
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document.write( "2b. What do these x-intercepts represent?\r<BR>\n" );
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document.write( "3a. What is the y-intercept of the model?\r<BR>\n" );
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document.write( "3b. What does this represent in the context of the problem?\r<BR>\n" );
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document.write( "4a. What’s the vertex of your equation? (You can find this using the graph or the formula .)\r<BR>\n" );
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document.write( "4b. What does the vertex represent in the context of the problem?\r<BR>\n" );
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document.write( "Now that we’ve found the model (in standard form) using quadratic regression, let’s write a model ourselves and compare them.\r<BR>\n" );
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document.write( "We’ll use factored form to write the equation.<BR>\n" );
document.write( "Use the x-intercepts found in Question 2 to write the equation of the model in factored form. Graph this equation on the same screen your plotted your data on earlier. Adjust a if necessary to get it to be a good fit.\r<BR>\n" );
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document.write( "a. Give your model. It will be in the form y = a(x - b)(x - c).\r<BR>\n" );
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document.write( "b. Insert the graph below.<BR>\n" );
document.write( "Graph the equation you wrote in step 6 with the equation you found using quadratic regression in Question 2 on the same set of axes.\r<BR>\n" );
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document.write( "a. Insert the graph below.\r<BR>\n" );
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document.write( "b. Write a couple of sentences comparing the two models.<BR>\n" );
document.write( "What if we account for the cost of feeding the pig? Adjust your model from step 6 to account for the fact that pig feed costs $5 a week.\r<BR>\n" );
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document.write( "a. Write the equation for the adjustment to feed the pig.\r<BR>\n" );
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document.write( "b. What are the new x-intercepts and what do they mean in the context of the problem?\r<BR>\n" );
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document.write( "c. What is the new vertex and what does it mean in the context of the problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666105 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Do not post so long texts.\r<BR>\n" );
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document.write( "Nobody will even try to read it.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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