calculusxy
  • calculusxy
A graph sketch tells what quantities the axes represent but does not have specific number scales. Both of these graph sketched show that distance increases as time passes. Which graph sketch better represents a walk? Why?
Mathematics
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SOLVED
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chestercat
  • chestercat
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calculusxy
  • calculusxy
calculusxy
  • calculusxy
@Michele_Laino
calculusxy
  • calculusxy
@pooja195

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More answers

anonymous
  • anonymous
We would expect that our walk should be continuous rather than discrete. We can test this by seeing whether there should be "gaps" as shown in one of the graphs. Does it make sense to ask the distance we have travelled after 3 seconds? It does, so it would make sense to connect the points.
calculusxy
  • calculusxy
I still don't understand.
anonymous
  • anonymous
Does it make sense to ask the distance we have travelled after 3 seconds*? It does, so it would make sense to connect the points. *notice that there is no dot at three seconds on the second graph, or 3.5 seconds, or 3.231 seconds, but there should be if it really is a good model of our scenario
calculusxy
  • calculusxy
Okay thank you.
anonymous
  • anonymous
No worries. Does that make sense?
calculusxy
  • calculusxy
Yes
Michele_Laino
  • Michele_Laino
I think that the first graph is the better one, since the distance traveled by a particle, is a continuous variable, and not a discrete variable, as we can see from the second graph

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