Problem 63 - Calculate With Confidence

Question

A client receives a dosage of 5.5 milliliters (mL) of medication 4 times a day. How much medication would the client receive in 7 days? ___________________________

Step-by-Step Solution

Answer

The client receives 154 mL of medication in 7 days.

Step 1: Determine Daily Dosage

First, calculate the total amount of medication the client receives in one day. The client receives 5.5 mL in each dose and there are 4 doses a day. Thus, the daily dosage is computed as: \( 5.5 \text{ mL/dose} \times 4 \text{ doses/day} = 22 \text{ mL/day} \).

Step 2: Calculate Weekly Dosage

Next, determine the amount of medication the client receives in 7 days by multiplying the daily dosage by the number of days in a week: \( 22 \text{ mL/day} \times 7 \text{ days} = 154 \text{ mL} \).

Key Concepts

Daily Dosage

When calculating how much medication a client needs per day, it is termed as daily dosage. The daily dosage is crucial for ensuring that the medication is effective while also being safe. To calculate the daily dosage accurately, follow these basic steps:

• Identify the amount of medication given per dose.
• Count how many doses are administered in one day.

In this exercise, the client receives 5.5 milliliters (mL) of medication in a single dose. There are 4 doses in a day. Thus, the daily dosage is calculated by multiplying the dosage per intake by the number of times it is taken in a day. This simple multiplication gives us:\[ 5.5 \text{ mL/dose} \times 4 \text{ doses/day} = 22 \text{ mL/day} \]This daily total ensures that for each day, the client gets the right amount of medication spread out over several doses.

Weekly Dosage

After determining the daily dosage, it is often necessary to calculate the weekly dosage, especially in weekly medication management.

• Determine how many days the dosage calculation should cover, typically 7 days for a weekly dosage.
• Multiply the daily dosage by this number of days.

For our exercise, once we have a daily dosage of 22 mL, calculating the weekly dosage involves a straightforward multiplication:\[ 22 \text{ mL/day} \times 7 \text{ days} = 154 \text{ mL/week} \]This output tells us the client's total medication intake for a week. Using weekly dosage calculations helps in planning medication supply and ensuring continuity in treatment.

Step-by-Step Solution

Understanding a step-by-step solution provides clarity in solving problems, especially in medication dosage calculation. Here's a quick guide on how to approach such problems:

• Step 1: Calculate Daily Dosage
  Identify the number of doses and the medication amount per dose. Multiply them to find out how much medication the client receives per day.
  In our example, multiply 5.5 mL by 4 doses to get 22 mL per day.


• Step 2: Calculate Weekly Dosage
  With the daily dosage known, multiply it by the number of days in the week. This provides the weekly dosage.
  Using our daily dosage, multiply 22 mL by 7 days to get the weekly amount of 154 mL.

Understanding and following these steps can prevent errors in dosage calculations. It's vital to not just memorize these steps but understand the logic behind each one, ensuring precision in medication administration.