Step 1: Substrate assessment.
The reactant is a benzylic tertiary bromide; such substrates strongly favor elimination because the resultant conjugated alkene is highly stabilized.
Step 2: Base characteristics.
Sodium tert-butoxide is a bulky, strong base whose steric bulk inhibits nucleophilic substitution while readily abstracting β-hydrogens.
Step 3: Reaction pathway.
An E2 mechanism operates, with the base removing a β-proton anti to the bromide leaving group, generating a double bond.
Step 4: Product determination.
Elimination yields a styrene-type conjugated alkene where the new double bond conjugates with the aromatic ring, providing maximum resonance stability.
Step 5: Stability rationale.
Conjugation with the benzene ring makes the alkene the dominant product over any substitution alternative.
Step 6: Conclusion.
The major product corresponds to option (3).