document.write( "Question 303656: If you are traveling at a constant speed, the distance you travel is directly proportional to your travel time. Suppose you walk 3 miles in 1 1/2 hours. How far would you walk in 1 hour? How long would it take to walk 5 miles?\r
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document.write( "I know the equation is y=kx \n" );
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Algebra.Com's Answer #217610 by graphmatics(170) You can put this solution on YOUR website! You are correct. Your expression y=kx is the same as the problem sentence, \"If you are traveling at a constant speed, the distance you travel is directly proportional to your travel time\". Now the question is what are the variables y,k, and x. A closer look to this sentence show y is the distance traveled, k is the speed and x is the time. Because you walked 3 miles (distance) in 1.5 hours it must be true that: \n" ); document.write( "3 = k*(1.5)\r \n" ); document.write( "\n" ); document.write( "So \n" ); document.write( "k = 3/1.5 = 2 \n" ); document.write( "So the equation is the same as: \n" ); document.write( "y = 2x \n" ); document.write( "if x, the time, is 1 hour then we substitude x = 1 to get the distance y:\r \n" ); document.write( "\n" ); document.write( "y = 2*(1) = 2 \n" ); document.write( " |