Question
Asked Dec 12, 2019
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Soon after taking aspirin, a patient has absorbed  300 milligrams of the drug. After 2 hours, only 75  milligrams remain in the bloodstream. Find an exponential model for the amount of aspirin in the bloodstream after t hours, and use your model to find the amount of aspirin in the bloodstream after 5  hours.

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Expert Answer

Step 1

Let ‘x’ denotes the amount of aspirin in bloodstream after ‘t’ hrs. The exponential model which describes the given situation where ‘A’ is the amount of aspirin at start and ‘k’ is the rate of growth/decay.

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kt х%3D Ае х%3D 300е"

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Step 2

Using the values given, calculate the rate ‘k’ to formulate the specific model.

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x = 75,t = 2 75 = 300e2k 75 e2k 300 e2k 4

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Step 3

‘k’ can be calculated more specifically if we apply...

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2k In e = In 4 -In k = 4 2 = In 4 = In

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Math

Advanced Math