document.write( "Question 571138: I need help solving this word problem...I have been trying for 2 hours.\r
\n" ); document.write( "\n" ); document.write( "In 1920, the record for a certain race was 45.4 sec. In 1970, it was 44.4 sec. \r
\n" ); document.write( "\n" ); document.write( "Let R(t)=the record in the race and t=the number of years since 1920.\r
\n" ); document.write( "\n" ); document.write( "Find a linear function that fits the data
\n" ); document.write( "R(t)=
\n" ); document.write( "Round to nearest hundredth\r
\n" ); document.write( "\n" ); document.write( "What is the predicted record for 2003____sec
\n" ); document.write( "What is the predicted record for 2006?
\n" ); document.write( "In what year will the predicted record be 43.50 seconds?\r
\n" ); document.write( "\n" ); document.write( "Thanks so much!
\n" ); document.write( "

Algebra.Com's Answer #367965 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
year Record time
\n" ); document.write( "1920 45.4 seconds
\n" ); document.write( "1970 44.4 seconds
\n" ); document.write( "Difference
\n" ); document.write( "50 -1
\n" ); document.write( "rate of reduction per year =-1 /50 = -0.02
\n" ); document.write( "
\n" ); document.write( "R(t)= 45.4-0.020t
\n" ); document.write( "
\n" ); document.write( "2003 t=83
\n" ); document.write( "
\n" ); document.write( "R(t)= 45.4 + -0.020 * 83
\n" ); document.write( "
\n" ); document.write( "R (83)= 43.74 seconds \r
\n" ); document.write( "\n" ); document.write( "------------
\n" ); document.write( "
\n" ); document.write( "R(t)= 45.4-0.02t
\n" ); document.write( "43.5=45.4-0.02t
\n" ); document.write( "45.4-43.5=0.02t
\n" ); document.write( "1.9=0.02t
\n" ); document.write( "t= 1.9/0.02
\n" ); document.write( "t=95 years\r
\n" ); document.write( "\n" ); document.write( "1920 +95 = 2015\r
\n" ); document.write( "\n" ); document.write( "year 2015 it will bve 43.5 seconds
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