Which of the following is the correct relationship of a 50% slope?

A 50% slope means that for every 100 units of horizontal distance, the height increases by 50 units. When you express this as a ratio, you get a slope ratio of 1:2 (which indicates a rise of 1 for every 2 units run horizontally), not greater than 1:1.

A ratio of 1:1 signifies a slope of 100%, where the height and horizontal distance are equal, meaning that for every 1 unit of height, there is also a 1 unit horizontal run. Hence, a 50% slope is actually considered less steep than a 1:1 slope.

Furthermore, a 2:1 slope corresponds to a 50% slope, indicating that for every 2 units of horizontal run, the rise is 1 unit. Thus, in terms of steepness, a 50% slope is less steep than both 1:1 and any slope greater than 50%. This contextual understanding helps clarify why a slope of 50% aligns with a 1:2 ratio, demonstrating it to be less than a 1:1 slope.