The concentration C of a drug in a patient's bloodstream t hours after injection is given by 25 · t C = 75 + t2 ' a. What is the concentration of the drug after 2 hours? (round answer to two decimal places) b. How long does this drug stay in someone's bloodstream? Assume that the drug is out of the patients system once the concentration has decreased to 0.5 %? (round to two decimal places) hours c. What is the end behavior of the function?

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter65: Achievement Review—section Six
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The concentration C of a drug in a patient's bloodstream t hours after injection is given by
25 · t
C =
75 + t2 '
a. What is the concentration of the drug after 2 hours? (round answer to two decimal places)
b. How long does this drug stay in someone's bloodstream? Assume that the drug is out of the
patients system once the concentration has decreased to 0.5 %? (round to two decimal places)
hours
c. What is the end behavior of the function?
O as t → 0, C →
O as t → o0, C → 0
25
as t → 0, C →
75
as t → o, C → 0
O as t → 0, C → 25
Transcribed Image Text:The concentration C of a drug in a patient's bloodstream t hours after injection is given by 25 · t C = 75 + t2 ' a. What is the concentration of the drug after 2 hours? (round answer to two decimal places) b. How long does this drug stay in someone's bloodstream? Assume that the drug is out of the patients system once the concentration has decreased to 0.5 %? (round to two decimal places) hours c. What is the end behavior of the function? O as t → 0, C → O as t → o0, C → 0 25 as t → 0, C → 75 as t → o, C → 0 O as t → 0, C → 25
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