Final answer:
The equation Rob should use to determine the acceptable range for the diameter of the metal rods, considering his error allowance, is a) 3.75 - 0.06 ≤ Diameter ≤ 3.75 + 0.06.
Step-by-step explanation:
The question pertains to allowable error in measurements, specifically concerning the diameter of metal rods. Rob wants the diameter of the rods to be close to 3.75 inches, with an error tolerance of 0.06 inches. To find the minimum and maximum diameter Rob will accept, we use the equation that considers this tolerance:
a) 3.75 - 0.06 ≤ Diameter ≤ 3.75 + 0.06
This equation means that the diameter (D) must be greater than or equal to 3.69 inches and less than or equal to 3.81 inches. This ensures that all rods will be within Rob's specified size range, regardless of minor variations in their manufacturing.