The Rate of Change with Respect to Time of the Quantity

question 7

Multiple Choice

The rate of change with respect to time of the quantity q of pain reliever in a person's body t hours after the individual takes the medication is proportional to the quantity of medication remaining. Assume that 5 hours after a person takes 400 milligrams of a pain reliever, one-half of the original dose remains. How much pain reliever will remain after 10 hours? Round your answer to the nearest milligram.

• A) 87 milligrams
• B) 76 milligrams
• C) 29 milligrams
• D) 25 milligrams
• E) 100 milligrams

---

Definitions:

Driver's Side Air Bag

A safety device installed in vehicles to reduce the risk of injury to the driver in the event of a collision by rapidly inflating upon impact.

Automobile Manufacturer

A company that produces and sells vehicles designed for transporting people and goods on roads.

Property Taxes

Taxes assessed on real estate properties, based on the property's value, and paid to local governments.

Factory Building

A physical structure used for the manufacturing or assembly of goods.