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Final answer:Ms. Henderson will qualify for premium-free Medicare Part Acoveragebecause of her 40 years of work. However, for Medicare Part B, irrespective of work history, she would need to pay a standard monthly premium. The amount for this premium increases for individuals with higher incomes.Explanation:Ms. Henderson is partially correct. Based on her 40 years of work and contributions to Medicare through taxes, she will qualify for Medicare Part A coverage without needing to pay additional premiums. However, Medicare Part B, which covers outpatient services and preventive care, does not automatically come without premiums, regardless of work history. To obtainMedicare Part B coverage, beneficiaries must pay a standard monthly premium, though it is worth noting that this premium is higher for individuals with higher incomes.Learn more about Medicare Coverage here:brainly.com/question/32523272#SPJ4...