NICET - Highway Construction Inspection Practice Exam

What is the slope ratio of line C given a = 12 and b = 3?

1. 1:3

2. 4:1

3. 1:4

4. 3:1

The correct answer is: 4:1

To determine the slope ratio of line C given the values of a and b, where a = 12 represents the vertical rise and b = 3 represents the horizontal run, you need to calculate the slope using the formula: Slope = rise/run Substituting the given values into this formula: Slope = 12/3 = 4 In ratio terms, this slope can be expressed as 4:1, indicating that for every 4 units of vertical change, there is 1 unit of horizontal change. This ratio conveys a steep incline because the rise significantly exceeds the run, making it the correct answer in the context of the question. When addressing the other options, it’s important to note that they represent different relationships between vertical and horizontal changes than the 4:1 ratio calculated. Prioritizing the correct interpretation of rise and run in this context is essential for understanding slope ratios in highway construction and related applications.