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:

d

Step-by-step explanation:

Answer 2

Answer: The relationship between distance and time is $d=2.5t$ 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

$\dfrac{Distance}{Time}\\\\=\dfrac{5}{2}\\\\=2.5\ mph$

Let the distance be 'd'.

Let the time be 't'.

so, the relation between distance and time would be

$distance=Speed\times time\\\\d=2.5t$

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.