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Use proportions to determine how many milligrams of medication a person who weighs 114 lb should be given if the dosage is 15 mg for every 10 lb.

Answer :

Sure! Let's figure out how to determine the medication dosage for a person who weighs 114 pounds, with a dosage guideline of 15 mg for every 10 pounds.

1. Understand the Dosage Proportion: We know that for every 10 pounds of body weight, the person should receive 15 mg of medication.

2. Find the Number of 10-pound Increments: First, divide the person's weight by 10 to determine how many 10-pound increments are in 114 pounds:
[tex]\[
\text{Number of 10-pound increments} = \frac{114 \text{ lb}}{10 \text{ lb}} = 11.4
\][/tex]

3. Calculate Total Dosage: Multiply the number of 10-pound increments by the medication dosage for each increment (15 mg):
[tex]\[
\text{Total dosage} = 11.4 \times 15 \text{ mg} = 171 \text{ mg}
\][/tex]

So, the person should be given 171 mg of medication.

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