document.write( "Question 150990: suzy can run 4m/sec and tim can run 6m/sec. How far ahead of tim must suzy be to not to fall behind tim in the first 10 secondsof running? Use a graph to check ou answer? \n" ); document.write( "
Algebra.Com's Answer #110995 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! suzy can run 4m/sec and tim can run 6m/sec. How far ahead of tim must suzy be to not to fall behind tim in the first 10 seconds of running? Use a graph to check your answer? \n" ); document.write( ": \n" ); document.write( "Let d = distance that T is ahead of S \n" ); document.write( ": \n" ); document.write( "Write a distance equation: Dist = speed * 10 sec \n" ); document.write( ": \n" ); document.write( "S's dist + head-start dist = T's dist \n" ); document.write( "4(10) + d = 6(10) \n" ); document.write( "40 + d = 60 \n" ); document.write( "d = 60 - 40 \n" ); document.write( "d = 20 m head start \n" ); document.write( ": \n" ); document.write( "\"Use a graph to check your answer\" \n" ); document.write( "let x = time running \n" ); document.write( "let y = distance ran \n" ); document.write( "; \n" ); document.write( "Suzy: y = 4x + 20; (green) \n" ); document.write( ": \n" ); document.write( "Tim: y = 6x; (purple) \n" ); document.write( ": \n" ); document.write( "y axis = dist, x axis = time \n" ); document.write( " \n" ); document.write( "You can see that T (purple) passes S (green) at 10 sec \n" ); document.write( "And when x=0, S has a 20m headstart \n" ); document.write( " |