Final answer:
The slope of the portion of the trail traversed is approximately 0.0947.
Step-by-step explanation:
The slope of a straight line can be calculated by determining the change in the vertical variable (rise) and the change in the horizontal variable (run) between two points. In this case, the starting altitude is 1200 feet and the ending altitude is 3700 feet after traveling a distance of 5 miles. To calculate the slope, we need to find the rise and run.
Rise: 3700 - 1200 = 2500 feet
Run: 5 miles = 5 * 5280 feet = 26400 feet
Therefore, the slope of the portion of the trail traversed is 2500 feet divided by 26400 feet, which simplifies to approximately 0.0947.