Final answer:
The equation representing Jordan's remaining distance to walk after x hours is y = D - 5x where D is the total trail distance. The y-intercept is the total distance Jordan starts with, and the slope of -5 indicates a decrease of 5 miles for each hour hiked.
Step-by-step explanation:
To write a linear equation that represents the distance Jordan still has to walk after x hours, we need to know the total distance of the trail, which seems to be missing from the provided information. Assuming the total distance Jordan needs to hike is D miles, the equation representing the distance Jordan still has to walk after x hours at a rate of 5 mi/h would be y = D - 5x. Here, y is the distance Jordan has yet to traverse, x represents the number of hours hiked, and 5 is the constant rate of hiking.
The y-intercept of this equation represents the distance Jordan starts with before beginning the hike, which is the total distance D. As Jordan hikes the trail, the distance remaining decreases, represented by the subtractive term -5x. The slope of this line is -5, indicating that the distance Jordan has left to walk decreases by 5 miles for every hour of hiking.