Question
1. A doctor's presoription calls for 0.2 ounces of a medication for every 20 pounds of body weight. How many ounces of medication will a 175 . person need?
Ask by Schofield Jimenez. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
A 175-pound person needs 1.75 ounces of medication.
Solution
To determine how many ounces of medication a 175-pound person needs based on the prescription guidelines, follow these steps:
**Given:**
- Dosage: 0.2 ounces of medication for every 20 pounds of body weight.
**Step 1: Determine the Dosage per Pound**
\[ \text{Dosage per pound} = \frac{0.2 \text{ ounces}}{20 \text{ pounds}} = 0.01 \text{ ounces per pound} \]
**Step 2: Calculate the Total Dosage for 175 Pounds**
\[ \text{Total dosage} = 0.01 \text{ ounces/pound} \times 175 \text{ pounds} = 1.75 \text{ ounces} \]
**Conclusion:**
A person weighing **175 pounds** will need **1.75 ounces** of the medication.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To find out how much medication a 175-pound person needs, first, you calculate how many 20-pound increments are in 175 pounds. Dividing 175 by 20 gives you 8.75 increments. Now, multiply the number of increments by the dosage per increment: 8.75 x 0.2 ounces = 1.75 ounces. So, a 175-pound person needs 1.75 ounces of medication. This calculation method is useful not just in medicine but in various fields such as nutrition, where you might want to proportion ingredients based on weight or serving size. It’s a handy skill to have for any scenario that involves scaling!
