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AP®︎/College Calculus BC

Course: AP®︎/College Calculus BC > Unit 7

Lesson 8: Exponential models with differential equations
Math
AP®︎/College Calculus BC
Differential equations
Exponential models with differential equations
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Differential equations: exponential model word problems

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Problem

The amount of medication in Rory's bloodstream decreases at a rate that is proportional at any time to the amount of the medication in the bloodstream at that time.
Rory takes 150 milligrams of medication initially. The amount of medication is halved every 13 hours.
How many milligrams of the medication are in Rory's bloodstream after 8 hours?
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