1. For a certain drug to have the desired healing effect and be safe, the amount in a person's system should be between 60 and 70 micrograms. After 6 hours, the amount of a dosage of the drug left in the body is 70% of the original dosage. Each dosage of the drug delivers 20 micrograms to the body.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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1:11
A onramps.instructure.com
Geometric Series
1. For a certain drug to have the desired
healing effect and be safe, the amount in a
person's system should be between 60 and
70 micrograms. After 6 hours, the amount
of a dosage of the drug left in the body is
70% of the original dosage. Each dosage
of the drug delivers 20 micrograms to the
body.
a. Assume a person receives one dosage of
the drug every six hours. Write a
geometric series representing the amount
of the drug in a person's system after n
dosages.
b. When (if ever) would the amount of the
drug in a person's system be greater than
60 micrograms?
CHALLENGE: Will the amount of the drug in
bo groator than 70
Transcribed Image Text:1:11 A onramps.instructure.com Geometric Series 1. For a certain drug to have the desired healing effect and be safe, the amount in a person's system should be between 60 and 70 micrograms. After 6 hours, the amount of a dosage of the drug left in the body is 70% of the original dosage. Each dosage of the drug delivers 20 micrograms to the body. a. Assume a person receives one dosage of the drug every six hours. Write a geometric series representing the amount of the drug in a person's system after n dosages. b. When (if ever) would the amount of the drug in a person's system be greater than 60 micrograms? CHALLENGE: Will the amount of the drug in bo groator than 70
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