500 ≤x≤ 600 is the recommended range of doses. Typically, a phase I or early phase II clinical trial involves dose range.
To solve this problem using Clark's rule, we need to determine the range of pediatric doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg.
A mathematical formula known as Clark's rule is used in medicine to determine the right dosage of medication for patients aged 2 to 17 depending on their weight and the recommended adult dose.
First, we can use the formula provided to calculate the child dose:
Child dose = (Weight of child / 150) * Adult dose
Since the weight of the child is less than 90 pounds, we can set the weight of the child to the minimum value in the range, which is 50 pounds. This gives us:
Child dose = (50 / 150) * 1000 mg
= 333.33 mg
Next, we can set the weight of the child to the maximum value in the range, which is 89 pounds. This gives us:
Child dose = (89 / 150) * 1000 mg
= 593.33 mg
Therefore, the recommended range of doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg is 500 mg ≤ x ≤ 600 mg.
So, the correct answer is D. 500 ≤x≤ 600.
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