Question

If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0488 D (a + 1). Suppose the dosage for an adult is 200 mg. What is the dosage for a newborn?

Answer 1

To determine the dosage for a newborn when the adult dosage is 200 mg, we use the formula c = 0.0488 * 200 * (0 + 1), which results in 9.76 mg as the proper dosage for a newborn.

Step-by-step explanation:

To calculate the correct dosage for a newborn, using the given formula and the provided adult dosage, we must substitute the values into the equation c = 0.0488 D (a + 1). Here, D represents the adult dosage, which is 200 mg, and a represents the age of the child, which for a newborn is 0.

Substituting the given values, the calculation is as follows:

1. Replace D with 200 mg (the adult dosage).
2. Replace a with 0 (as the age of the newborn is 0 years).
3. Calculate the product: 0.0488 * 200 * (0 + 1).
4. The calculation simplifies to: 0.0488 * 200 * 1 = 9.76 mg.

Thus, the appropriate dosage c for a newborn is 9.76 mg.

Answer 2

c=0.0488 D (a+1)
c= ?
D=200 mg
a= 1 day or 0.002739726 year
c=0.0488 × 200 (0.002739726+1)
c= 9.76 × 1.002739726
c=9.786739726
c=9.787 mg