## At the moment a certain medicine. Is injected, it’s concentration in the blood stream is 120 mg/L. From that moment forward, the medicine co

Question

At the moment a certain medicine. Is injected, it’s concentration in the blood stream is 120 mg/L. From that moment forward, the medicine concentration drop by 30% each hour. Write a function that gives the medicines concentration in milligrams Per liter, C(t),t hours after the medicine was injected

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3 weeks 2021-09-27T03:57:37+00:00 2 Answers 0

Step-by-step explanation:

From that moment forward, the medicine concentration drop by 30% each hour. It means that the rate at which the medicine concentration is dropping is exponential. We would apply the formula for exponential decay which is expressed as

A = P(1 – r)^t

Where

P represents the initial concentration.

A represents the final concentration after t hours.

t represents the number of hours.

r represents the rate

From the information given

P = 120 mg/L

r = 30% = 30/100 = 0.3

The expression becomes

C(t) = 120(1 – 0.3)^t

C(t) = 120(0.7)^t