Question

Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between the time, t, in hours he hikes to distance, d, in miles? Will the graph be continuous or discrete?

Answer 1

Answer: The relationship between distance and time is
`d=2.5t` and the graph is continuous.

Explanation:

Since we have given that

Number of hours he hiked = 2 hours

Distance covered = 5 miles

Speed would be

`(Distance)/(Time)\\\\=(5)/(2)\\\\=2.5\ mph`

Let the distance be 'd'.

Let the time be 't'.

so, the relation between distance and time would be

`distance=Speed* time\\\\d=2.5t`

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
`d=2.5t` and the graph is continuous.