document.write( "Question 709712: The teacher gave out a problem that I can't understand at all. \"Sketch a graph that compares time vs. total distance if you walked up a mountain, stopped and ate lunch and then ran down the mountain\". She gave us a picture to write the diagram on. It looks like a 90* angle. Any advice would be greatly appreciated! \n" ); document.write( "
Algebra.Com's Answer #436752 by KMST(5347) You can put this solution on YOUR website! \n" ); document.write( "is represented by the first up-sloping blue segment. \n" ); document.write( "At each point in that line the distance in miles is 3 times the time in hours. \n" ); document.write( "It is a straight line, because your speed was constant \n" ); document.write( "After 2.5 hours, the total distance covered was 7.5 miles. \n" ); document.write( "At that point you stopped to rest and eat lunch for half an hour. \n" ); document.write( "During that rest/lunch period (2.5 to 3 hours into your trip), \n" ); document.write( "the total distance covered was a constant 7.5 miles, \n" ); document.write( "and your speed was a constant zero (because you were not walking). \n" ); document.write( "The lunch/rest part is represented by the short horizontal segment. \n" ); document.write( "After lunch, for the next hour, you ran downhill down the same trail. \n" ); document.write( "Because, it was downhill, \n" ); document.write( "it was not a great effort to keep a steady 7.5 mile per hour pace \n" ); document.write( "all the way (7.5 miles) to your starting point. \n" ); document.write( "When you finished you had covered the 15 mile distance in just 4 hours. \n" ); document.write( "The steep upper blue segment represents your downhill run. \n" ); document.write( "It is a straight line because your speed was constant, \n" ); document.write( "and it is steep, because you were going fast. \n" ); document.write( " |