document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181838>Question 1181838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help with a rate of change problem\r<BR>\n" );
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document.write( "Find the average rate of change of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x%5E2-5x%2B1 ALIGN=MIDDLE  ALT=\"g%28x%29=x%5E2-5x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > from x=3 to x=7.\r<BR>\n" );
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document.write( "Simplify your answer as much as possible. </SPAN>\n" );
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document.write( "Plug in x = 3 to find that<BR>\n" );
document.write( "g(x) = x^2-5x+1<BR>\n" );
document.write( "g(3) = (3)^2-5(3)+1<BR>\n" );
document.write( "g(3) = -5\r<BR>\n" );
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document.write( "Repeat for x = 7 to find that<BR>\n" );
document.write( "g(7) = 15\r<BR>\n" );
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document.write( "Then we can say...<BR>\n" );
document.write( "m = rate of change from a to b<BR>\n" );
document.write( "m = (g(b)-g(a))/(b-a)<BR>\n" );
document.write( "m = (g(7)-g(3))/(7-3)<BR>\n" );
document.write( "m = (15-(-5))/(7-3)<BR>\n" );
document.write( "m = (15+5)/(7-3)<BR>\n" );
document.write( "m = 20/4<BR>\n" );
document.write( "m = <font color=red>5</font>\r<BR>\n" );
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document.write( "As you can probably guess, I basically used the slope formula. The rate of change from x = 3 to x = 7 is the same as the slope of the line through (3,-5) and (7,15)\r<BR>\n" );
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document.write( "Answer: <font color=red>5</font><BR>\n" );
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