Final answer:
The equation that represents the relationship between the distance Justin runs, denoted by d, and the time, denoted by h, at a constant running speed is d = 8.5h.
Step-by-step explanation:
The relationship between the distance Justin runs (d, in kilometers) and the time he spends running (h, in hours) can be expressed with a linear equation since he is running at a constant rate. We can find the speed by dividing the total distance he runs by the total time spent running. In this case, Justin runs 17 km in 2 hours, which gives us a speed of 17 km / 2 h = 8.5 km/h. Therefore, for every hour, Justin runs 8.5 km.
To represent this relationship in an equation where d is the dependent variable and h is the independent variable, we can write d = 8.5h. This equation confirms that if we multiply the number of hours Justin runs by 8.5 km/h, we will get the total distance he has run.
Considering the options given in the question, the correct equation that shows the relationship between d, the distance he runs in kilometers, and h, the time he spends running in hours, is d = 8.5h.