Question

Question
A veterinarian has to give antibiotics to a dog with a leg infection. The dog is given 200 mg. The antibiotics decays at a rate of 25% every 4 hours. What amount of medicine is left in the dog after 16 hours?(1 point)
Responses

488.28 mg
488.28 mg

63.3 mg
63.3 mg

2 mg
2 mg

0.78 mg
0.78 mg
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Answer 1

After each 4-hour period the dog keeps 75% of the dose. After 16 hours (4 periods):

Amount = 200*(0.75)^4 = 200*(0.31640625) ≈ 63.3 mg.

Answer: 63.3 mg.