Step 1: Nature of the substrate.
\((\text{CH}_3)_2\text{CH–Br}\) is a secondary alkyl halide.
Step 2: Reference standard.
In relative rate studies of \( \text{S}_\text{N}1 \) reactions, secondary alkyl halides are taken as the standard with rate equal to 1.
Step 3: Conclusion.
Therefore, the relative rate of the \( \text{S}_\text{N}1 \) reaction is \(1.0\).