document.write( "Question 361497: Trying to help my daughter with Question #54 on page 299 of McDougal Little Algebra 1.
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document.write( "An In-line skater practices ar a race track. In two trials the skater travles the same distance going from a standstill to his top racing speed. He then travels at his top racing speed for different distances.\r
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document.write( "Trial 1, Time at Top Speed 24 seconds, total distance traveled 300 meters.
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document.write( "Trial 2, Time at Top Speed 29 seconds, Total distance traveled 350 meters.\r
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document.write( "A. Model -Write an equation that gives the total distance traveled (in meters) as a function of time (in seconds) at top racing speed.
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document.write( "B. - Justify -What do the rate of change and initial value in your equation represent? Explain you answer using unit analysis.
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document.write( "C. Predict - One lap around the race track is 200 meters. The skater starts at a standstill and completes 3 laps. Predict the number of seconds the skater travels at his top racing speed. Explain your method.
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Algebra.Com's Answer #257749 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! the extra 5 seconds at top speed (29-24) resulted in 50 more meters of travel (350-300) \n" ); document.write( "___ so the top speed is ___ 50m / 5s or 10 m/s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10 m/s for 24 s is a distance of 240 m \n" ); document.write( "___ this means that it takes 60 m (300-240) to get to top speed\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A. d = 10t + 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B. the rate of change represents the top speed , and the initial value represents the speed-up distance \n" ); document.write( "___ meters = (meters/sec)(sec) + meters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C. 3 laps is 600m (3 * 200) \n" ); document.write( "___ 60 m is used for speed-up , so 540m is the distance at top speed \n" ); document.write( "___ 540m at 10 m/s means 54 sec at top speed \n" ); document.write( " |