Final answer:
The specific Amendment being violated in this scenario is the Third Amendment because it involves the government mandating that individuals with extra bedrooms must house soldiers from the army base without their consent.
Step-by-step explanation:
The specific Amendment being violated in this scenario is the Third Amendment. The Third Amendment states that 'No Soldier shall, in time of peace be quartered in any house, without the consent of the Owner, nor in time of war, but in a manner to be prescribed by law.'
This situation violates the Third Amendment because it involves the government mandating that individuals with extra bedrooms must house soldiers from the army base, without their consent.
Furthermore, the Third Amendment protects citizens from having their homes used by the military without their permission, and this requirement from the town council violates that protection.