NICET - Highway Construction Inspection Practice Exam

With values a = 12, b = 3, c = x, what is the % gradient of line C?

1. 25% gradient

2. 20% gradient

3. 15% gradient

4. 30% gradient

The correct answer is: 25% gradient

To determine the percentage gradient of line C given the values a = 12 and b = 3, we need to understand how the gradient (or slope) is calculated. The gradient is typically defined as the "rise" over the "run" when referring to a linear line on a graph. Here, the percentage gradient formula is expressed as: \[ \text{Gradient (\%)} = \left(\frac{\text{Rise}}{\text{Run}}\right) \times 100 \] Given the values provided, we assume that 'a' represents the vertical change (rise) of the line, which is 12 units, and 'b' represents the horizontal change (run) of the line, which is 3 units. Substituting these values into the formula gives: \[ \text{Gradient (\%)} = \left(\frac{12}{3}\right) \times 100 = 4 \times 100 = 400 \] However, to adjust this to percentage format, it seems there might be a need to clarify what 'C' refers to and whether there are specific requirements in its context. If C represents a specific calculation or interpretation based on these values, additional understanding