Question

Miguel is hiking a mountain that begins with a straight slope. He stops after some horizontal distance and is 100 feet higher than at the start. He continues to hike for an additional mile of horizontal distance to get 300 feet higher than his starting point. What is the slope of the mountain, written as a reduced fraction?

A. 1/5
B. 1/10
C. 5/1
D. 10/1

Answer 1

To find the slope of the mountain, we need to calculate the rise and run. Given that Miguel stops after some horizontal distance and is 100 feet higher than at the start, this represents the rise. Next, Miguel continues to hike for an additional mile and gets 300 feet higher than his starting point. Therefore, the slope of the mountain is 1/10.

Step-by-step explanation:

To find the slope of the mountain, we need to calculate the rise and run.

Given that Miguel stops after some horizontal distance and is 100 feet higher than at the start, this represents the rise. We can consider this as the change in elevation.

Next, Miguel continues to hike for an additional mile and gets 300 feet higher than his starting point. This additional mile represents the run or the horizontal distance.

Therefore, the slope of the mountain is calculated as rise/run = 100/1,640 = 1/16.4. This can be further reduced to 1/10.

So, the correct answer is B. 1/10.