anonymous
  • anonymous
Math help needed. A train leaves the station at noon. The train is 180 miles from its destination at 12:45pm and 90 miles from its destination at 2:15pm. How far is the station from the destination? At what time will the train reach the destination?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
90 miles from its destination
DebbieG
  • DebbieG
Although not stated, there seems to be an assumption that the train is moving at a constant rate (speed). So it's distance from the destination and time t is a linear relationship. Thus, you know 2 points on the line that describes the relationship. If d=distance (this is like your "y") and t=time in minutes since noon(this is like your "x") then you have the following points (t, d): (45, 180) (135 ,90) So you can find a line. Then when t=0 you will have d when the train left the station - that is how far the station is from the destination. When d=0 you will have the time (minutes) since noon that it takes to reach the destination.
DebbieG
  • DebbieG
You could also get the results in an "intuitive" way if you just look at the pattern of the distance vs. time. But the linear equation is a formal (and mathematically rigorous) way to approach it. :)

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