Question

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?

Answer 1

@Michele_Laino

Answer 2

@pooja195

Answer 3

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.

Answer 4

I still don't understand.

Answer 5

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

Answer 6

Okay thank you.

Answer 7

No worries. Does that make sense?

Answer 8

Yes

Answer 9

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