For 7 hours, an intravenous bag delivers medication to a patient at a rate of 2.75 drops a second with a mass of 42 mg per drop. Identify the given amount and all conversion factors.

• A.
• B.
• C.
• D.
• E.

Answer: (B)

Verified step by step guidance

1. Identify the given amount: The problem states that the intravenous bag delivers medication for 7 hours.
2. Identify the conversion factors: The rate of delivery is 2.75 drops per second, and each drop has a mass of 42 mg.
3. Convert hours to seconds: Since the rate is given in drops per second, convert the time from hours to seconds using the conversion factor 1 hour = 3600 seconds.
4. Calculate the total number of drops: Multiply the total time in seconds by the rate of 2.75 drops per second to find the total number of drops delivered.
5. Calculate the total mass of medication: Multiply the total number of drops by the mass per drop (42 mg) to find the total mass of medication delivered in milligrams.