a.
To state: A recursive rule for the amount of the drug in the bloodstream after n doses if a person repeatedly takes 20 milligrams of a prescribed drug every 4 hours.
The resultant rule is
Given information:
A person repeatedly takes 20 milligrams of a prescribed drug every 4 hours. Thirty percent of the drug is removed the bloodstream every 4 hours.
Explanation:
Consider the given information:
A person repeatedly takes 20 milligrams of a prescribed drug every 4 hours. It means
Thirty percent of the drug is removed the bloodstream every 4 hours. That means only 70 percent drug is left from the previous dose.
Now form a recursive rule
Therefore, the recursive rule is
b.
To state: The maintenance level of this drug, given a dosage of 20 milligrams if the value that a drug level in a person's body approaches after an extended period of time is called the maintenance level.
The resultant maintenance level is
Given information:
A drug level in a person's body approaches after an extended period of time is called the maintenance level.
Explanation:
To find the maintenance level, find d such that
The series will converge to
Therefore, the maintenance level of this drug, given a dosage of 20 milligrams is
c.
To state: The affect of doubling the dosage on the maintenance level.
The resultant maintenance level is
Given information:
Given dosage is 20 milligrams. Doubling the dosage of the drug will result in 40 milligrams.
Explanation:
To find the dosage affect on maintenance level, find d such that
The series will converge to
Therefore, the maintenance level of this drug, given a dosage of 40 milligrams is
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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