Set up the following as a proportion and solve. Include labels in your work and with your answer. (Round to the tenths if necessary.)

The prescriber orders 15 mg of medication for every 10 pounds (lb) of a person's weight. How much medication should be given for a person who weighs 165 lb?

To solve this question, we set up a proportion based on the information given:

1. The prescription states that 15 mg of medication is needed for every 10 pounds of a person's weight. This is our starting ratio.

[tex]\[
\frac{15 \text{ mg}}{10 \text{ lb}}
\][/tex]

2. We want to find out how much medication should be given for a person who weighs 165 pounds. We set up a proportion with the unknown amount of medication on one side and the known information on the other:

[tex]\[
\frac{15 \text{ mg}}{10 \text{ lb}} = \frac{x \text{ mg}}{165 \text{ lb}}
\][/tex]

3. To solve for [tex]$ x $[/tex], use cross-multiplication:

[tex]\[
15 \cdot 165 = 10 \cdot x
\][/tex]

[tex]\[
2475 = 10x
\][/tex]

4. Divide both sides by 10 to solve for [tex]$ x $[/tex]:

[tex]\[
x = \frac{2475}{10} = 247.5 \text{ mg}
\][/tex]

So, a person who weighs 165 pounds should be given 247.5 mg of the medication.

Set up the following as a proportion and solve. Include labels in your work and with your answer. (Round to the tenths if necessary.)The prescriber orders 15 mg of medication for every 10 pounds (lb) of a person's weight. How much medication should be given for a person who weighs 165 lb?

Answer :

Other Questions

Set up the following as a proportion and solve. Include labels in your work and with your answer. (Round to the tenths if necessary.)

The prescriber orders 15 mg of medication for every 10 pounds (lb) of a person's weight. How much medication should be given for a person who weighs 165 lb?