Officers Appear at a Suspect's Home (Without a Warrant)where the Suspect's

Officers appear at a suspect's home (without a warrant) where the suspect's mother is the only resident present.The police officers ask if she will let them search the house for stolen property.She asks if she has to allow it and the officers answer in the affirmative.She consents.The search is

A) valid because she voluntarily consented.
B) valid because she could have gotten a lawyer.
C) invalid because the consent is deemed involuntary.
D) invalid because the mother lacks authority to consent.