The half-life of a drug in the blood is 2 hours. Assume that a person starts with 0.6 mg of the drug in their system. Fill in the following table with the amount of the drug remaining in the blood after t hours. Estimate the length of time until the amount of the drug is reduced to 0.04 mg.

Enter the exact answers in the table and enter the length of time until the amount of the drug is reduced to 0.04 to the nearest integer

Question

Amos

Mathematics

7 December, 19:17

The half-life of a drug in the blood is 2 hours. Assume that a person starts with 0.6 mg of the drug in their system. Fill in the following table with the amount of the drug remaining in the blood after t hours. Estimate the length of time until the amount of the drug is reduced to 0.04 mg.

Enter the exact answers in the table and enter the length of time until the amount of the drug is reduced to 0.04 to the nearest integer

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Mary Anthony · Answer 1

If the half-life of the drug is 2 hours, then in 2 hours 0.6 mg of the drug becomes 0.3 mg. In two more hours (4 hours total) it is 0.15 mg, 2 more hours (6 hours).075 mg. In two more hours (8 hours) it is. 0375 mg, rounded to 0.04. The answer is 8 hours.