A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. Which equation could be used to find the time when 15 milligrams of the drug remain?

A. 100 = 15 (0.89) ^x

B. 100 = 15 (0.11) ^x

C. 15 = 100 (0.89) ^x

D. 15 100 (0.11) ^x

Question

Mylie Hernandez

Mathematics

4 September, 18:50

A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. Which equation could be used to find the time when 15 milligrams of the drug remain?

A. 100 = 15 (0.89) ^x

B. 100 = 15 (0.11) ^x

C. 15 = 100 (0.89) ^x

D. 15 100 (0.11) ^x

+2

Answers (1)

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Rock · Answer 1

Exponential functions can be expressed as:

f=ir^t, f=final value, i=initial value, r=rate or common ratio, t=term number or "time" when it is fractional ... In this case we have:

f=100 ((100-11) / 100) ^x

f=100 (0.89) ^x and we want to solve for when f=15 so

15=100 (0.89) ^x

A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. Which equation could be used to find the time when 15 milligrams of the drug remain?A. 100 = 15 (0.89) ^xB. 100 = 15 (0.11) ^xC. 15 = 100 (0.89) ^xD. 15 100 (0.11) ^x

A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. Which equation could be used to find the time when 15 milligrams of the drug remain?

A. 100 = 15 (0.89) ^x

B. 100 = 15 (0.11) ^x

C. 15 = 100 (0.89) ^x

D. 15 100 (0.11) ^x