A doctor prescribes 125 mg of a drug. The amount of the drug in the patient's body decays by 20% every hour. Part 1 Write an exponential model for the A(t), the amount of the drug in the patient's system after t hours have passed. A(t) = help (formulas) Part 2 Use your formula to find the amount of the drug remaining after 3 hours have passed. Round your answer to the nearest tenth. help (numbers) mg Part 3 What is the half-life of this drug? Round your answer to the nearest whole number.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A doctor prescribes 125 mg of a drug. The amount of the drug in the patient's body decays by 20% every hour.
Part 1
Write an exponential model for the A(t), the amount of the drug in the patient's system after t hours have passed.
help (formulas)
A(t) =
Part 2
Use your formula to find the amount of the drug remaining after 3 hours have passed. Round your answer to the nearest tenth.
help (numbers)
mg
Part 3
What is the half-life of this drug? Round your answer to the nearest whole number.
hours
Transcribed Image Text:A doctor prescribes 125 mg of a drug. The amount of the drug in the patient's body decays by 20% every hour. Part 1 Write an exponential model for the A(t), the amount of the drug in the patient's system after t hours have passed. help (formulas) A(t) = Part 2 Use your formula to find the amount of the drug remaining after 3 hours have passed. Round your answer to the nearest tenth. help (numbers) mg Part 3 What is the half-life of this drug? Round your answer to the nearest whole number. hours
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