document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171725>Question 1171725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parachutist jumps from an altitude of 2000m.<BR>\n" );
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document.write( "Time(s)       0 ,    3  ,   6  ,   9   , 12<BR>\n" );
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document.write( "Height(m)   2000,  1911 , 1650, 1215 , 608<BR>\n" );
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document.write( "Determine the equation for your curve of good fit in factored form y=a(x-r)(x-s)\r<BR>\n" );
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document.write( "and using your equation estimate the parachutist's distance from the ground after 10 s.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796652 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=796652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i used a polynomial regression calculator to get the following results.\r<BR>\n" );
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document.write( "1.9999428571428573e+003 = constant term<BR>\n" );
document.write( "-7.6190476190475920e-001 = x term<BR>\n" );
document.write( "-9.6031746031746028e+000 = x^2 term\r<BR>\n" );
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document.write( "this polynomial regression calculator is at <a  rel=nofollow HREF= \"https://arachnoid.com/polysolve/\" target = \"_blank\">https://arachnoid.com/polysolve/</a>\r<BR>\n" );
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document.write( "equation is y = -9.6031746031746028*10^0*x^2 - 7.6190476190475920*10^-1*x + 1.9999428571428573*10^3.\r<BR>\n" );
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document.write( "i converted the scientific notation to decimal form to get:\r<BR>\n" );
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document.write( "y = -9.603174 * x^2 - .761907 * x + 1999.942857\r<BR>\n" );
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document.write( "i graphed the equation in decmos.com calculator at <a  rel=nofollow HREF= \"https://www.desmos.com/calculator\" target = \"_blank\">https://www.desmos.com/calculator</a>\r<BR>\n" );
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document.write( "the graph showed me the zero points at x = -14.392 and x = 14.471 as shown below.\r<BR>\n" );
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document.write( "my equation became y = -9.603174 * (x + 14.471) * (x - 14.392).\r<BR>\n" );
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document.write( "i checked all the points from the data table.<BR>\n" );
document.write( "they were all close.<BR>\n" );
document.write( "i then looked for the value of y when x = 10.<BR>\n" );
document.write( "the graph showed me that the value of y = 1032.117 when x = 10<BR>\n" );
document.write( "that would be the height that the parachutist was at after 10 seconds.\r<BR>\n" );
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document.write( "the graph of the value of y when x = 0,3,6,9,12, and 10 are shown below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/121302.jpg\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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