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JulsSmile
3 months ago
11

You’re working in a pharmacy, and are making a table to help with dosage amounts for a certain drug. The recommended dosage is 4

0 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours. You want entries for children weighing 10 pounds, 15 pounds and 30 pounds. The drug comes in a 200 mg5 ml formula. If 1 teaspoon = 5 ml, how many teaspoons are required for each entry? Round your answer to the nearest 14 teaspoon.
Mathematics
1 answer:
lawyer [12.5K]3 months ago
7 0

Answer: Children who weigh 10 pounds require 12 teaspoons, those at 15 pounds need 18 teaspoons, and for 30 pounds, it is necessary to have 36 teaspoons.

Step-by-step explanation:

We have a recommended dose of 40 mg per 2.2 pounds of weight, given in three doses throughout the day every 8 hours.

Thus, for a single pound, the daily required dosage is calculated as \dfrac{40}{2.2}=18.18\ ml.

Each individual dose corresponds to \dfrac{18.18}{3}=6.06\ ml of the drug.

This means for one pound, the dosage needed per dose is 6.06 ml.

Thus, for 10 pounds, the calculation is 10 x 6.06 ml = 60.6 ml

To convert ml to teaspoons, knowing that 1 teaspoon equals 5 ml, we find: (60.6 ml ÷ 5) = 12.12 ≈ 12 teaspoons.

For a weight of 15 pounds, the drug requirement is 15 x 6.06 ml = 90.9 ml.

This translates to (90.9 ml ÷ 5) = 18.18 ≈ 18 teaspoons.

For the weight of 30 pounds, it is calculated as 30 x 6.06 ml = 181.8 ml.

Converting this gives us (181.8 ml ÷ 5) = 36.36 ≈ 36 teaspoons.

Therefore, children weighing 10 pounds need 12 teaspoons, those at 15 pounds require 18 teaspoons, and those at 30 pounds need 36 teaspoons.

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