The correct option is:
d = 2.5t , continuous
It is given that:
Jeff hiked for 2 hours and traveled 5 miles.
This means that the speed of Jeff is:
[tex]Speed=2.5\ miles\ per\ hour[/tex]
( Since speed is defined as the ratio of distance over time i.e.
[tex]Speed=\dfrac{Distance}{Time}[/tex]
i.e.
[tex]Speed=\dfrac{5}{2}=2.5\ miles\ per\ hour[/tex] )
Also, it is given that:
He continues at the same pace.
This means that the speed remains constant over the time.
Hence, the relationship that holds between the distance(d) and time(t) is:
[tex]d=2.5t[/tex]
Since,
[tex]Distance=Speed\times time[/tex]
Also, the graph will be continuous , since the distance depends over the period of time and he will travel different distance over different time.
