Answer: The relationship between distance and time is [tex]d=2.5t[/tex] and the graph is continuous.
Step-by-step explanation:
Since we have given that
Number of hours he hiked = 2 hours
Distance covered = 5 miles
Speed would be
[tex]\dfrac{Distance}{Time}\\\\=\dfrac{5}{2}\\\\=2.5\ mph[/tex]
Let the distance be 'd'.
Let the time be 't'.
so, the relation between distance and time would be
[tex]distance=Speed\times time\\\\d=2.5t[/tex]
The graph  is continuous because it is not based on counts and the points are  connected with a continuous line without any break.
Hence, the relationship between distance and time is [tex]d=2.5t[/tex] and the graph is continuous.
