7hen a drug is intravenously administered to a patient on a continuous basis, the amount A (in milligram e drug in the patient's bloodstream t minutes after injection of the drug is given by 1 A(0)3글 (a - (a – Ce-kt). n this case, the growth constant k is called the absorption constant. The number a is the amount of the dr dded to the bloodstream each minute, and the number C is a constant that depends on the values of a and e case when a = 3 mg, C = 35, and k = 0.25, find the amount of the drug in the patient's bloodstream rounded to 3 decimal places) a. 15 minutes after injection. mg b. 120 minutes after injection. mg

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
icon
Related questions
Question
When a drug is intravenously administered to a patient on a continuous basis, the amount A (in milligrams) of
the drug in the patient's bloodstream t minutes after injection of the drug is given by
1
A(t) = (a –
Ce-kt).
In this case, the growth constant k is called the absorption constant. The number a is the amount of the drug
added to the bloodstream each minute, and the number C is a constant that depends on the values of a and k. For
3 mg,
(rounded to 3 decimal places)
the case when a =
C = 35, and k
0.25, find the amount of the drug in the patient's bloodstream
a. 15 minutes after injection.
mg
b. 120 minutes after injection.
mg
Transcribed Image Text:When a drug is intravenously administered to a patient on a continuous basis, the amount A (in milligrams) of the drug in the patient's bloodstream t minutes after injection of the drug is given by 1 A(t) = (a – Ce-kt). In this case, the growth constant k is called the absorption constant. The number a is the amount of the drug added to the bloodstream each minute, and the number C is a constant that depends on the values of a and k. For 3 mg, (rounded to 3 decimal places) the case when a = C = 35, and k 0.25, find the amount of the drug in the patient's bloodstream a. 15 minutes after injection. mg b. 120 minutes after injection. mg
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer