Given ƒ(x) = 8x + 25, find x when ƒ(x) = 9.
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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 .
Each individual dose corresponds to 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.