document.write( "Question 201400: Hello! I need a help ASAP!!!
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document.write( "Problem 3.
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document.write( "In 1920, the record for a certain race was 46.4 sec. In 1990, it was 45.0 sec.
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document.write( "Let R(t)= the record in the race and t= the number of the year since 1920.\r
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document.write( "a) Find a linear function that the date
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document.write( "b) Use the function in (a) to predict the record in 2003 and in 2006.
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document.write( "c) Find the year when the record will be 44.56 sec\r
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document.write( "Find a linear function that fits the data.
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document.write( "R(t)= ??
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document.write( "What is the predicted record for 2003?
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document.write( "What is the predicted record for 2006?
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document.write( "In what year will the predicted record be 44.56 sec??
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document.write( "Thank you so much for your help!!!\r
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Algebra.Com's Answer #151625 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! As a linear relationship, it follows the form, y=mx +b. \n" ); document.write( ". \n" ); document.write( "In this case,,,R=mt +b,,,with points (0,46.4),,and (70,45) \n" ); document.write( ". \n" ); document.write( "m= (y2-y1) / (x2-x1) = - (46.4 -45) /(1990 - 1920) = -1.4 / 70 = -.02 \n" ); document.write( ". \n" ); document.write( "R = (-.02)t +b,,,,,@(0,46.4),,,46.4 = 0 +b,,,b=46.4 \n" ); document.write( ". \n" ); document.write( "Base eqn ,,,,R = -.02t +46.4 \n" ); document.write( ". \n" ); document.write( "@ 1990, t=1990-1920=70,,,R=-.02(70) +46.4 = 45,,,,,good check \n" ); document.write( ". \n" ); document.write( "@ 2003, t=2003-1920=83,,,R=-.02(83)+46.4 = 44.74 \n" ); document.write( ". \n" ); document.write( "@ 2006, t=2006-1920=86,,,R=-.02(86)+46.4 = 44.68 \n" ); document.write( ". \n" ); document.write( "Have a great day \n" ); document.write( " \n" ); document.write( " |