The graph for the given situation is required.
The correct option is the first graph.
Let us convert the minutes to hour since the graph is shown in hours.
[tex]\dfrac{13}{60}=0.2167\ \text{hours}[/tex]
[tex]\dfrac{17}{60}=0.2833\ \text{hours}[/tex]
Whenever a line in a graph has an angle with the [tex]x[/tex] axis then there is a change of the [tex]y[/tex] axis with respect to change in [tex]x[/tex] axis.
That means slope
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
Here, the slope of an angled line will be
[tex]m=\dfrac{\text{Change in distance}}{\text{Change in time}}=\text{Speed}[/tex]
The slope here indicates constant speed.
From 0 to 0.2167 hours she ran at constant speed.
From 0.2167 to [tex]0.2167+0.2833=0.5[/tex] hours she walked
From 0.5 hours to [tex]0.5+0.2167=0.7167[/tex] hours she ran.
From 0.7167 hours to [tex]0.7167+0.2833=1[/tex] hour she sat and stretched.
The slope or angle will be more for the running sections compared to the walking sections as running is faster than walking.
And the graph will always be going up.
At the end when she is not moving the line will be a horizontal line because her position is not changing.
So, the correct option is the first graph.
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