A nonsteroidal anti-inflammatory drug with a half-life of two hours is given at 8,000 units. After six hours, how much remains?

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Multiple Choice

A nonsteroidal anti-inflammatory drug with a half-life of two hours is given at 8,000 units. After six hours, how much remains?

Explanation:
Half-life is the time required for a drug’s amount in the body to drop by half. With a half-life of two hours, every two hours the remaining amount halves. Over six hours, three half-lives pass. Starting with 8,000 units, the progression is 8,000 → 4,000 → 2,000 → 1,000. In formula form: 8,000 × (1/2)^(6/2) = 8,000 × (1/2)^3 = 8,000 ÷ 8 = 1,000 units. So 1,000 units remain after six hours.

Half-life is the time required for a drug’s amount in the body to drop by half. With a half-life of two hours, every two hours the remaining amount halves. Over six hours, three half-lives pass. Starting with 8,000 units, the progression is 8,000 → 4,000 → 2,000 → 1,000. In formula form: 8,000 × (1/2)^(6/2) = 8,000 × (1/2)^3 = 8,000 ÷ 8 = 1,000 units. So 1,000 units remain after six hours.

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