Question
A person takes 400 milligrams of ibuprofen. The amount of ibuprofen in the body hours after being administered is given by
Select each of the true statements from the following:
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There is 225 milligrams of ibuprofen in the person’s body 1.5 hours after the ibuprofen was administered.
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There is 225 milligrams of ibuprofen in the person’s body 1.5 hours after the ibuprofen was administered.
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Using , the average rate at which ibuprofen is leaving the body 2 hours after administered is -64.64 milligrams per hour.
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The instantaneous rate of change of with respect to at is
Solution
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False. After 1.5 hours there is milligrams of ibuprofen in the person’s body.
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False. The amount of ibuprofen in the body 1.5 hours after administered is .
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True.
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False.
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True. Using , the average rate at which ibuprofen is leaving the body 2 hours after administered is
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False. The instantaneous rate of change of with respect to at is This is also called the derivative of at and we write