document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363502>Question 363502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need to figure out the answer what I can up with is wrong.<BR>\n" );
document.write( "P =7t^2+7000 with a growth rate of 750 each year. For each of these years 2010,2011,2012,2013,2016 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259199 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=259199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your equation and your problem statement don't really track with each other.\r<BR>\n" );
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document.write( "The equation is that of a quadratic equation that has an exponential growth rate each year.\r<BR>\n" );
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document.write( "I will graph your equation to show you.\r<BR>\n" );
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document.write( "In order to do that, I have to make y equal to P, and x equal to t.\r<BR>\n" );
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document.write( "Your equation becomes:\r<BR>\n" );
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document.write( "y = 7x^2 + 7000\r<BR>\n" );
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document.write( "A graph of this equation would look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C7x%5E2+%2B+7000%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C7x%5E2+%2B+7000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It looks like a flat line because the x value is increasing by 1 each time and the result is swallowed up by the 7000.\r<BR>\n" );
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document.write( "Change the equation to y = 750x^2 + 7000 and you get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C750x%5E2+%2B+7000%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C750x%5E2+%2B+7000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can see that the graph of the equation is now exponential.\r<BR>\n" );
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document.write( "That's because you have x^2 rather than x.\r<BR>\n" );
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document.write( "Change the equation to y = 750*x + 7000 and you get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C750%2Ax+%2B+7000%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C750%2Ax+%2B+7000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That last equation is a straight line.\r<BR>\n" );
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document.write( "In fact, it's a straight line with an annual increase of 750 per year.\r<BR>\n" );
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document.write( "That's because this is a linear equation in the form of:\r<BR>\n" );
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document.write( "y = mx + b, where:\r<BR>\n" );
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document.write( "m is the slope, and b is the y-intercept.\r<BR>\n" );
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document.write( "The slope is 750 which means that for every change in x, y will change by 750.\r<BR>\n" );
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document.write( "The y-intercept is 7000 which means that when x = 0, y = 7000.\r<BR>\n" );
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document.write( "To show you that this equation increases by 750 per year, you can simply plot the values of x.\r<BR>\n" );
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document.write( "When x = 0, y = 750*0 + 7000 = 7000<BR>\n" );
document.write( "When x = 1, y = 750*1 + 7000 = 7750<BR>\n" );
document.write( "When x = 2, y = 750*2 + 7000 = 8500<BR>\n" );
document.write( "When x = 3, y = 750*3 + 7000 = 9250<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( "I will plot 3 horizontal lines at 7750, 8500, 9250 to show you.\r<BR>\n" );
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document.write( "Simply trace a vertical line down from the intersection of those horizontal lines with the graph of the equation and you will see that x = 0,1,2,3 respectively.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C750%2Ax+%2B+7000%2C7000%2C7750%2C8500%2C9250%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-1%2C5%2C-1000%2C10000%2C750%2Ax+%2B+7000%2C7000%2C7750%2C8500%2C9250%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Unless I'm missing something, I don't think you have a valid equation to solve the problem given.\r<BR>\n" );
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document.write( "If I'm all wet, then send me the original problem statement in its entirety and I'll look at it and give you my opinion.\r<BR>\n" );
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