Exponential decay can be used to model the decrease in concentration of an intravenous drug in the blood stream over time following an exponential decay formula: A = A0e^-kt Where A is the amount of drug in the bloodstream, A0 is the initial dose of the drug and t is time measured in hours. We assume that the full dose of drug delivered is present in the bloodstream at time t = 0 hours. QUESTION: A patient is given 170 mg of a drug. Two hours later, the amount of drug in the patient’s bloodstream has reduced by 10% (i.e. there is 90% of the original dose still present). Assuming exponential decay according to the above formula, what is the decay constant "k" for the bacteria? (Round k to three decimal places.)
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Exponential decay can be used to model the decrease in concentration of an
intravenous drug in the blood stream over time following an exponential decay formula:
A = A0e^-kt
Where A is the amount of drug in the bloodstream, A0 is the initial dose of the drug and t is time measured in hours.
We assume that the full dose of drug delivered is present in
the bloodstream at time t = 0 hours.
QUESTION: A patient is given 170 mg of a drug. Two hours later, the amount of drug in the patient’s
bloodstream has reduced by 10% (i.e. there is 90% of the original dose still present).
Assuming exponential decay according to the above formula, what is the decay constant
"k" for the bacteria? (Round k to three decimal places.)
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