Answer: [tex]d=8.5h[/tex]
Step-by-step explanation:
The exercise is: "Justin runs at a constant rate, traveling 17 km in 2 hours. Write an equation that shows the relationship between the distance he runs (d) in kilometers and the time he spends running (h) in hours."
You know that Justin travels 17 kilometers in 2 hours. With this information you can calculate his speed in kilometers per hour.
The formula to calculate the constant speed is:
[tex]V=\frac{d}{t}[/tex]
Where "d" is the distance and "t" is the time.
Substiuting values, you get:
[tex]V=\frac{17\ km}{2\ h}\\\\V=8.5\ \frac{km}{h}[/tex]
By definition:
[tex]d=Vt[/tex]
Since the time Justin spends running is represented with "h" in the exercise, this is:
[tex]d=Vh[/tex]
Substituting the value of "V" into [tex]d=Vh[/tex], you get that the equation that shows the relationship between the distance he runs (in kilometers) and the time he spends running (in hours), is:
[tex]d=8.5h[/tex]
