document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110282>Question 1110282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I would like some help solving this word problem!\r<BR>\n" );
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document.write( "The level of air pollution varies throughout the day during summer. The function P(t)= 0.1t^2-0.4t+0.6 measures the air pollution, \"P\" measured in parts per million, with respect to time, \"t\" in hours, where 9AM=0\r<BR>\n" );
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document.write( "A) Find the average rate of change of air pollution between noon and 5PM.<BR>\n" );
document.write( "B) Find the rate of change at 5PM and interpret the meaning of your result. </SPAN>\n" );
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document.write( "The level of air pollution varies throughout the day during summer. The function P(t)= 0.1t^2-0.4t+0.6 measures the air pollution, \"P\" measured in parts per million, with respect to time, \"t\" in hours, where 9AM=0 <BR>\n" );
document.write( "A) Find the average rate of change of air pollution between noon and 5PM.<BR>\n" );
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document.write( "Average = [P(5)-P(0)]/[5-0] = [0.1*25-0.4*5+0.6 - (0-0+0.6)]/5 = 0.1<BR>\n" );
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document.write( "B) Find the rate of change at 5PM and interpret the meaning of your result.<BR>\n" );
document.write( "P'(t) = 2*0.1t-0.4<BR>\n" );
document.write( "P'(5) = 2*0.1*5-0.4 = 0.6<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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