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Suppose you are heading up a trail. At the start of the trail, you are at an altitude of 1200 feet. After you have traveled a straight portion of the trail for 5 miles, you are now at an altitude of 3700 feet.

What is the slope of the portion of the trail that you have traversed?

Answer :

Final answer:

The slope of the portion of the trail traversed is approximately 0.0947.

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.

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