Question

A medical lab is testing a drug that removes a certain percent of fluid from the lungs of a patient every eight hours. The expression below represents the number of milligrams of fluid remaining in a patient's lungs after n days.

4.000(0.58)^3n

Which statement best describes the exponent, 3n?

A.the rate at which the amount of fluid in the patient's lungs is removed by the drug


B.the initial amount of fluid in the patient's lungs before the drug is introduced


C.the amount of fluid remaining in the patient's lungs after each day


D.the number of times the drug has removed a certain percentage of fluid from the patient's lungs

Answer 1

D.the number of times the drug has removed a certain percentage of fluid from the patient's lungs

Answer 2

Answer: D. The number of times the drug has removed a certain percentage of fluid from the patient's lungs

Explanation:

In a standard exponential function
`Ab^x`, A is the initial amount and b is the multiplicative factor and x is the number of time periods.

Given: A medical lab is testing a drug that removes a certain percent of fluid from the lungs of a patient every eight hours.

The expression below represents the number of milligrams of fluid remaining in a patient's lungs after n days.

`4.000(0.58)^3n`,

As comparing to the standard exponential equation, here 3n represents the number of times the drug has removed a certain percentage of fluid from the patient's lungs.