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6.8 Exercise 128

Avg difficulty 2.5

Use this scenario: A doctor prescribes $300$ milligrams of a therapeutic drug that decays by about $17 \%$ each hour.

Write an exponential model representing the amount of the drug remaining in the patient’s system after $t$ hours. Then use the formula to find the amount of the drug that would remain in the patient’s system after $24$ hours. Round to the nearest hundredth of a gram.

OpenStax Algebra and Trigonometry 2e, 6.8 Fitting Exponential Models to Data, exercise 128

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.