document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084212>Question 1084212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mathmatician named antonia does some market research to find the effect that hourly wages has on the amount a repair person makes\r<BR>\n" );
document.write( "\n" );
document.write( "If fhey charge to little lots of people would hire that person but rhe persob would not earn very much money\r<BR>\n" );
document.write( "\n" );
document.write( "If the person charges too much again they wont make money because no one will hire them\r<BR>\n" );
document.write( "\n" );
document.write( "Antonia believes that there must be an hourly wage that he could charge to make maximub earnings\r<BR>\n" );
document.write( "\n" );
document.write( "Table of averages\r<BR>\n" );
document.write( "\n" );
document.write( "Hour rate$ <BR>\n" );
document.write( "10<BR>\n" );
document.write( "25<BR>\n" );
document.write( "45<BR>\n" );
document.write( "65<BR>\n" );
document.write( "90\r<BR>\n" );
document.write( "\n" );
document.write( "Weakly earning $<BR>\n" );
document.write( "700<BR>\n" );
document.write( "1450<BR>\n" );
document.write( "1890<BR>\n" );
document.write( "1690<BR>\n" );
document.write( "540\r<BR>\n" );
document.write( "\n" );
document.write( "1. Using graphic calculator make scatter plot\r<BR>\n" );
document.write( "\n" );
document.write( "2. Do u agree with antonia that there probably is an hourly wage that will maximize earning\r<BR>\n" );
document.write( "\n" );
document.write( "3. Determine equation<BR>\n" );
document.write( "For the parabola\r<BR>\n" );
document.write( "\n" );
document.write( "Determine coordinates\r<BR>\n" );
document.write( "\n" );
document.write( "4. What hourly rate is best\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Omg pkz help me ive been stuck on stupid with this question </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698285 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=698285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you probably want to use a curve fit program.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the relationship is not straight line, but more like a parabola.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "using an online curve fit program that i found at <a  rel=nofollow HREF= \"https://mycurvefit.com/\" target = \"_blank\">https://mycurvefit.com/</a>, i got the following quadratic equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = -.8x^2 + 78x - 4.547474 * 10^-13\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i put that equation in the desmos.com calculator and it told me the maximum value for y is at y = 1901.25 when x is at 48.75.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y represents the weekly earnings and x represents the hourly wage.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means that the amount a repair person makes per week is maximized when the hourly wages he charges is 48.75 dollars per hour.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the desmos.com calculator can be found at <a  rel=nofollow HREF= \"https://www.desmos.com/calculator\" target = \"_blank\">https://www.desmos.com/calculator</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's what i input into the curve fit program.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/060801.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's what the curve fit program showed me was the result after i requested a polynomial quadratic equation fit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/060802.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's what the desmos calculator showed me.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/060803.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the R^2 tells you how good the fit is.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since the R^2 is equal to 1, that's the best fit you can get.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you could also use excel to do something similar.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they have a correlation option which graphs the data and also tells you which type of equation fits the data the best.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in general, the type of equation that gives you the highest R^2 value is the one that gives you the best fit.\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( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );