SOLUTION: The amount A (in milligrams) of Digoxin, a drug taken by cardiac patients, remaining in the blood t hours after a patient takes a 2-milligram dose is given by A = 2(10-^0.0078t).

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The amount A (in milligrams) of Digoxin, a drug taken by cardiac patients, remaining in the blood t hours after a patient takes a 2-milligram dose is given by A = 2(10-^0.0078t).       Log On


   

Question 49968This question is from textbook Applied College Algebra
: The amount A (in milligrams) of Digoxin, a drug taken by cardiac patients, remaining in the blood t hours after a patient takes a 2-milligram dose is given by A = 2(10-^0.0078t).
a. How much Digoxin remains in the blood of a patient 4 hours after taking a 2-milligram dose?
b. Suppose a patient takes a 2-milligram dose of Digoxin at 1:00 P.M. and another 2- milligram dose at 5:00 P.M. How much Digoxin remains in the patient's blood at 6:00 P.M.? This question is from textbook Applied College Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+2%2810%5E%28-0.0078t%29%29
Find A when t = 4.
A+=+2%281%2F10%5E0.0312%29
A+=+2%2F1.0745
A+=+1.86mg. (Rounded to the nearest thousandth)
To find the amount of Digoxin remaining at 6:00 pm, you know that the amount remaining at 5:00 pm (4 hours after the initial 2-mg dose) is given above (A = 1.86 mg.). Now add 2 mg of Digoxin to this (2 + 1.86 = 3.86) and apply the formula for this amount for t = 1 hour.
A+=+3.86%281%2F10%5E0.0078%29
A+=+3.86%2F1.018122
A+=+3.79 mg. (Rounded to the nearest thousandth)