Question

The ideal length of a metal rod is 28.5 cm. The measured length may vary from the ideal length by at most 0.045 cm. What is the range of acceptable lengths for the rod?

A. x ≤ 28.455 or x ≥ 28.545
B. 28.455 ≤ x ≤ 28.545
C. 28.455 ≥ x ≥ 28.545
D. 28.455 ≤ x ≥ 28.545

Answer 1

The range of acceptable lengths for the rod is from 28.455 cm to 28.545 cm.

Step-by-step explanation:

The range of acceptable lengths for the rod can be found by adding and subtracting the maximum variation from the ideal length:

1. Minimum length = ideal length - maximum variation = 28.5 cm - 0.045 cm = 28.455 cm
2. Maximum length = ideal length + maximum variation = 28.5 cm + 0.045 cm = 28.545 cm

Therefore, the range of acceptable lengths for the rod is from 28.455 cm to 28.545 cm. Therefore, the correct answer is option D. 28.455 ≤ x ≥ 28.545.