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The Rate of Change with Respect to Time of the Quantity

Question 24

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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 4 hours after a person takes 300 milligrams of a pain reliever, one-half of the original dose remains. Write a differential equation for the rate of change of the quantity of pain reliever in the body.


A) 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 4 hours after a person takes 300 milligrams of a pain reliever, one-half of the original dose remains. Write a differential equation for the rate of change of the quantity of pain reliever in the body. A) milligrams per hour B) milligrams per hour C) milligrams per hour D) milligrams per hour E) milligrams per hour milligrams per hour
B) 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 4 hours after a person takes 300 milligrams of a pain reliever, one-half of the original dose remains. Write a differential equation for the rate of change of the quantity of pain reliever in the body. A) milligrams per hour B) milligrams per hour C) milligrams per hour D) milligrams per hour E) milligrams per hour milligrams per hour
C) 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 4 hours after a person takes 300 milligrams of a pain reliever, one-half of the original dose remains. Write a differential equation for the rate of change of the quantity of pain reliever in the body. A) milligrams per hour B) milligrams per hour C) milligrams per hour D) milligrams per hour E) milligrams per hour milligrams per hour
D) 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 4 hours after a person takes 300 milligrams of a pain reliever, one-half of the original dose remains. Write a differential equation for the rate of change of the quantity of pain reliever in the body. A) milligrams per hour B) milligrams per hour C) milligrams per hour D) milligrams per hour E) milligrams per hour milligrams per hour
E) 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 4 hours after a person takes 300 milligrams of a pain reliever, one-half of the original dose remains. Write a differential equation for the rate of change of the quantity of pain reliever in the body. A) milligrams per hour B) milligrams per hour C) milligrams per hour D) milligrams per hour E) milligrams per hour milligrams per hour

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