What is the acceptable range of asphalt content if the tolerance is 0.4% applied to an asphalt content of 5.10%?

To determine the acceptable range of asphalt content when a tolerance of 0.4% is applied to an asphalt content of 5.10%, you first need to calculate the tolerance range around the specified content.

Start by subtracting the tolerance from the asphalt content:

5.10% - 0.4% = 4.70%

Next, add the tolerance to the asphalt content:

5.10% + 0.4% = 5.50%

This means the acceptable range of asphalt content, considering the tolerance, is from 4.70% to 5.50%.

The range provided aligns accurately with one of the choices, confirming that it defines the acceptable limits for asphalt content when accounting for the specified tolerance. This is critical in materials engineering as it ensures the mix design adheres to specified performance characteristics, such as durability and workability, essential for pavement performance.