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Which of the following expresses slope?

  1. Only as a percent

  2. Only as a ratio

  3. As a ratio, percent, or in degrees

  4. Exclusively in degrees

The correct answer is: As a ratio, percent, or in degrees

Slope is a measure of how steep a line or surface is, and it can be expressed in various forms, including as a ratio, percent, or in degrees. When expressed as a ratio, slope is typically represented as a fraction, indicating the vertical change (rise) over the horizontal change (run). This ratio format is widely used in mathematics and engineering to describe the incline of a surface. When expressed as a percent, the slope represents the same rise over run but is multiplied by 100. This allows for a more intuitive understanding of slope as it conveys how much vertical change occurs for every 100 units of horizontal distance, which is especially useful in practical applications like grading or road construction. Expressing slope in degrees provides an angle perspective, where the slope of a surface is represented as an angle from the horizontal. This is particularly helpful in fields such as civil engineering and land surveying, where understanding the angle of incline is crucial for safety and functionality. Given these methods of expression, the correct answer demonstrates the versatility of representing slope, allowing for more comprehensive applications and interpretations across different contexts in stormwater management and related fields.